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Finding the Fourth Proportional to 11,393.92, 15,724.70 and 6,916.65

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Solution

The fourth proportional to 11,393.92, 15,724.70 and 6,916.65 is: 9,545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.92 : 15,724.70 = 6,916.65 : x
  2. Step 2: Convert to fraction form
    11,393.92/15,724.70 = 6,916.65/x
  3. Step 3: Cross multiply
    11,393.92x = 15,724.70 × 6,916.65
  4. Step 4: Simplify right side
    11,393.92x = 108,762,246.26
  5. Step 5: Solve for x
    x = 108,762,246.26/11,393.92
  6. Step 6: Final answer
    x = 9,545.64

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1.5x scale

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.