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Finding the Fourth Proportional to 10,469.86, 15,708.43 and 4,927.43

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Solution

The fourth proportional to 10,469.86, 15,708.43 and 4,927.43 is: 7,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.86 : 15,708.43 = 4,927.43 : x
  2. Step 2: Convert to fraction form
    10,469.86/15,708.43 = 4,927.43/x
  3. Step 3: Cross multiply
    10,469.86x = 15,708.43 × 4,927.43
  4. Step 4: Simplify right side
    10,469.86x = 77,402,234.67
  5. Step 5: Solve for x
    x = 77,402,234.67/10,469.86
  6. Step 6: Final answer
    x = 7,392.86

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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.