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Finding the Fourth Proportional to 10,515, 15,774.66 and 4,359

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Solution

The fourth proportional to 10,515, 15,774.66 and 4,359 is: 6,539.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515 : 15,774.66 = 4,359 : x
  2. Step 2: Convert to fraction form
    10,515/15,774.66 = 4,359/x
  3. Step 3: Cross multiply
    10,515x = 15,774.66 × 4,359
  4. Step 4: Simplify right side
    10,515x = 68,761,742.94
  5. Step 5: Solve for x
    x = 68,761,742.94/10,515
  6. Step 6: Final answer
    x = 6,539.40

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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.