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Finding the Fourth Proportional to 10,689.70, 15,998.10 and 9,814.90

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Solution

The fourth proportional to 10,689.70, 15,998.10 and 9,814.90 is: 14,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.70 : 15,998.10 = 9,814.90 : x
  2. Step 2: Convert to fraction form
    10,689.70/15,998.10 = 9,814.90/x
  3. Step 3: Cross multiply
    10,689.70x = 15,998.10 × 9,814.90
  4. Step 4: Simplify right side
    10,689.70x = 157,019,751.69
  5. Step 5: Solve for x
    x = 157,019,751.69/10,689.70
  6. Step 6: Final answer
    x = 14,688.88

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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.