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Finding the Fourth Proportional to 10,476.85, 15,715.47 and 8,387.16

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Solution

The fourth proportional to 10,476.85, 15,715.47 and 8,387.16 is: 12,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.85 : 15,715.47 = 8,387.16 : x
  2. Step 2: Convert to fraction form
    10,476.85/15,715.47 = 8,387.16/x
  3. Step 3: Cross multiply
    10,476.85x = 15,715.47 × 8,387.16
  4. Step 4: Simplify right side
    10,476.85x = 131,808,161.37
  5. Step 5: Solve for x
    x = 131,808,161.37/10,476.85
  6. Step 6: Final answer
    x = 12,580.90

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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.