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Finding the Fourth Proportional to 15,885.52, 23,813.70 and 7,115.65

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Solution

The fourth proportional to 15,885.52, 23,813.70 and 7,115.65 is: 10,666.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885.52 : 23,813.70 = 7,115.65 : x
  2. Step 2: Convert to fraction form
    15,885.52/23,813.70 = 7,115.65/x
  3. Step 3: Cross multiply
    15,885.52x = 23,813.70 × 7,115.65
  4. Step 4: Simplify right side
    15,885.52x = 169,449,868.19
  5. Step 5: Solve for x
    x = 169,449,868.19/15,885.52
  6. Step 6: Final answer
    x = 10,666.94

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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.