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Finding the Fourth Proportional to 10,872, 15,006.15 and 6,625.94

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Solution

The fourth proportional to 10,872, 15,006.15 and 6,625.94 is: 9,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872 : 15,006.15 = 6,625.94 : x
  2. Step 2: Convert to fraction form
    10,872/15,006.15 = 6,625.94/x
  3. Step 3: Cross multiply
    10,872x = 15,006.15 × 6,625.94
  4. Step 4: Simplify right side
    10,872x = 99,429,774.50
  5. Step 5: Solve for x
    x = 99,429,774.50/10,872
  6. Step 6: Final answer
    x = 9,145.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.