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Finding the Fourth Proportional to 3,177.68, 4,766.52 and 869

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Solution

The fourth proportional to 3,177.68, 4,766.52 and 869 is: 1,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.68 : 4,766.52 = 869 : x
  2. Step 2: Convert to fraction form
    3,177.68/4,766.52 = 869/x
  3. Step 3: Cross multiply
    3,177.68x = 4,766.52 × 869
  4. Step 4: Simplify right side
    3,177.68x = 4,142,105.88
  5. Step 5: Solve for x
    x = 4,142,105.88/3,177.68
  6. Step 6: Final answer
    x = 1,303.50

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Half scale
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Double scale
Find fourth proportional to 3,178.68, 4,768.02 and 870
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.