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Finding the Fourth Proportional to 10,715.87, 16,079.87 and 5,785.40

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Solution

The fourth proportional to 10,715.87, 16,079.87 and 5,785.40 is: 8,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.87 : 16,079.87 = 5,785.40 : x
  2. Step 2: Convert to fraction form
    10,715.87/16,079.87 = 5,785.40/x
  3. Step 3: Cross multiply
    10,715.87x = 16,079.87 × 5,785.40
  4. Step 4: Simplify right side
    10,715.87x = 93,028,370.57
  5. Step 5: Solve for x
    x = 93,028,370.57/10,715.87
  6. Step 6: Final answer
    x = 8,681.37

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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.