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Finding the Fourth Proportional to 15,761.70, 23,617.02 and 7,421.94

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Solution

The fourth proportional to 15,761.70, 23,617.02 and 7,421.94 is: 11,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.70 : 23,617.02 = 7,421.94 : x
  2. Step 2: Convert to fraction form
    15,761.70/23,617.02 = 7,421.94/x
  3. Step 3: Cross multiply
    15,761.70x = 23,617.02 × 7,421.94
  4. Step 4: Simplify right side
    15,761.70x = 175,284,105.42
  5. Step 5: Solve for x
    x = 175,284,105.42/15,761.70
  6. Step 6: Final answer
    x = 11,120.89

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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.