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Finding the Fourth Proportional to 11,545.87, 15,928.32 and 7,294

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Solution

The fourth proportional to 11,545.87, 15,928.32 and 7,294 is: 10,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,545.87 : 15,928.32 = 7,294 : x
  2. Step 2: Convert to fraction form
    11,545.87/15,928.32 = 7,294/x
  3. Step 3: Cross multiply
    11,545.87x = 15,928.32 × 7,294
  4. Step 4: Simplify right side
    11,545.87x = 116,181,166.08
  5. Step 5: Solve for x
    x = 116,181,166.08/11,545.87
  6. Step 6: Final answer
    x = 10,062.57

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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.