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Finding the Fourth Proportional to 10,605, 15,904.47 and 4,279.92

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Solution

The fourth proportional to 10,605, 15,904.47 and 4,279.92 is: 6,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605 : 15,904.47 = 4,279.92 : x
  2. Step 2: Convert to fraction form
    10,605/15,904.47 = 4,279.92/x
  3. Step 3: Cross multiply
    10,605x = 15,904.47 × 4,279.92
  4. Step 4: Simplify right side
    10,605x = 68,069,859.24
  5. Step 5: Solve for x
    x = 68,069,859.24/10,605
  6. Step 6: Final answer
    x = 6,418.66

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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.