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Finding the Fourth Proportional to 10,609.20, 15,913.80 and 9,685.80

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Solution

The fourth proportional to 10,609.20, 15,913.80 and 9,685.80 is: 14,528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.20 : 15,913.80 = 9,685.80 : x
  2. Step 2: Convert to fraction form
    10,609.20/15,913.80 = 9,685.80/x
  3. Step 3: Cross multiply
    10,609.20x = 15,913.80 × 9,685.80
  4. Step 4: Simplify right side
    10,609.20x = 154,137,884.04
  5. Step 5: Solve for x
    x = 154,137,884.04/10,609.20
  6. Step 6: Final answer
    x = 14,528.70

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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.