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Finding the Fourth Proportional to 10,646.80, 15,972.60 and 3,251.60

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Solution

The fourth proportional to 10,646.80, 15,972.60 and 3,251.60 is: 4,878.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.80 : 15,972.60 = 3,251.60 : x
  2. Step 2: Convert to fraction form
    10,646.80/15,972.60 = 3,251.60/x
  3. Step 3: Cross multiply
    10,646.80x = 15,972.60 × 3,251.60
  4. Step 4: Simplify right side
    10,646.80x = 51,936,506.16
  5. Step 5: Solve for x
    x = 51,936,506.16/10,646.80
  6. Step 6: Final answer
    x = 4,878.13

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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.