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Finding the Fourth Proportional to 10,872.55, 15,005.55 and 6,157

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Solution

The fourth proportional to 10,872.55, 15,005.55 and 6,157 is: 8,497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.55 : 15,005.55 = 6,157 : x
  2. Step 2: Convert to fraction form
    10,872.55/15,005.55 = 6,157/x
  3. Step 3: Cross multiply
    10,872.55x = 15,005.55 × 6,157
  4. Step 4: Simplify right side
    10,872.55x = 92,389,171.35
  5. Step 5: Solve for x
    x = 92,389,171.35/10,872.55
  6. Step 6: Final answer
    x = 8,497.47

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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.