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Finding the Fourth Proportional to 10,381, 15,578.52 and 4,534.24

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Solution

The fourth proportional to 10,381, 15,578.52 and 4,534.24 is: 6,804.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381 : 15,578.52 = 4,534.24 : x
  2. Step 2: Convert to fraction form
    10,381/15,578.52 = 4,534.24/x
  3. Step 3: Cross multiply
    10,381x = 15,578.52 × 4,534.24
  4. Step 4: Simplify right side
    10,381x = 70,636,748.52
  5. Step 5: Solve for x
    x = 70,636,748.52/10,381
  6. Step 6: Final answer
    x = 6,804.43

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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.