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Finding the Fourth Proportional to 5,641.76, 7,786.42 and 3,284.66

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Solution

The fourth proportional to 5,641.76, 7,786.42 and 3,284.66 is: 4,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.76 : 7,786.42 = 3,284.66 : x
  2. Step 2: Convert to fraction form
    5,641.76/7,786.42 = 3,284.66/x
  3. Step 3: Cross multiply
    5,641.76x = 7,786.42 × 3,284.66
  4. Step 4: Simplify right side
    5,641.76x = 25,575,742.32
  5. Step 5: Solve for x
    x = 25,575,742.32/5,641.76
  6. Step 6: Final answer
    x = 4,533.29

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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.