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Finding the Fourth Proportional to 10,787, 14,882.02 and 6,309.32

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Solution

The fourth proportional to 10,787, 14,882.02 and 6,309.32 is: 8,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787 : 14,882.02 = 6,309.32 : x
  2. Step 2: Convert to fraction form
    10,787/14,882.02 = 6,309.32/x
  3. Step 3: Cross multiply
    10,787x = 14,882.02 × 6,309.32
  4. Step 4: Simplify right side
    10,787x = 93,895,426.43
  5. Step 5: Solve for x
    x = 93,895,426.43/10,787
  6. Step 6: Final answer
    x = 8,704.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.