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Finding the Fourth Proportional to 9,156, 12,638.40 and 6,169.92

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Solution

The fourth proportional to 9,156, 12,638.40 and 6,169.92 is: 8,516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156 : 12,638.40 = 6,169.92 : x
  2. Step 2: Convert to fraction form
    9,156/12,638.40 = 6,169.92/x
  3. Step 3: Cross multiply
    9,156x = 12,638.40 × 6,169.92
  4. Step 4: Simplify right side
    9,156x = 77,977,916.93
  5. Step 5: Solve for x
    x = 77,977,916.93/9,156
  6. Step 6: Final answer
    x = 8,516.59

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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.