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Finding the Fourth Proportional to 10,257, 15,385.47 and 7,920.42

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Solution

The fourth proportional to 10,257, 15,385.47 and 7,920.42 is: 11,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257 : 15,385.47 = 7,920.42 : x
  2. Step 2: Convert to fraction form
    10,257/15,385.47 = 7,920.42/x
  3. Step 3: Cross multiply
    10,257x = 15,385.47 × 7,920.42
  4. Step 4: Simplify right side
    10,257x = 121,859,384.30
  5. Step 5: Solve for x
    x = 121,859,384.30/10,257
  6. Step 6: Final answer
    x = 11,880.61

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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.