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Finding the Fourth Proportional to 5,657.85, 7,811.64 and 4,329.18

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Solution

The fourth proportional to 5,657.85, 7,811.64 and 4,329.18 is: 5,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.85 : 7,811.64 = 4,329.18 : x
  2. Step 2: Convert to fraction form
    5,657.85/7,811.64 = 4,329.18/x
  3. Step 3: Cross multiply
    5,657.85x = 7,811.64 × 4,329.18
  4. Step 4: Simplify right side
    5,657.85x = 33,817,995.66
  5. Step 5: Solve for x
    x = 33,817,995.66/5,657.85
  6. Step 6: Final answer
    x = 5,977.18

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.