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Finding the Fourth Proportional to 11,565.75, 15,960.75 and 7,376.43

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Solution

The fourth proportional to 11,565.75, 15,960.75 and 7,376.43 is: 10,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.75 : 15,960.75 = 7,376.43 : x
  2. Step 2: Convert to fraction form
    11,565.75/15,960.75 = 7,376.43/x
  3. Step 3: Cross multiply
    11,565.75x = 15,960.75 × 7,376.43
  4. Step 4: Simplify right side
    11,565.75x = 117,733,355.12
  5. Step 5: Solve for x
    x = 117,733,355.12/11,565.75
  6. Step 6: Final answer
    x = 10,179.48

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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.