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Finding the Fourth Proportional to 12,475.92, 18,684 and 6,916.08

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Solution

The fourth proportional to 12,475.92, 18,684 and 6,916.08 is: 10,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.92 : 18,684 = 6,916.08 : x
  2. Step 2: Convert to fraction form
    12,475.92/18,684 = 6,916.08/x
  3. Step 3: Cross multiply
    12,475.92x = 18,684 × 6,916.08
  4. Step 4: Simplify right side
    12,475.92x = 129,220,038.72
  5. Step 5: Solve for x
    x = 129,220,038.72/12,475.92
  6. Step 6: Final answer
    x = 10,357.56

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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.