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Finding the Fourth Proportional to 20,376.65, 30,565.08 and 9,275.57

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Solution

The fourth proportional to 20,376.65, 30,565.08 and 9,275.57 is: 13,913.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,376.65 : 30,565.08 = 9,275.57 : x
  2. Step 2: Convert to fraction form
    20,376.65/30,565.08 = 9,275.57/x
  3. Step 3: Cross multiply
    20,376.65x = 30,565.08 × 9,275.57
  4. Step 4: Simplify right side
    20,376.65x = 283,508,539.10
  5. Step 5: Solve for x
    x = 283,508,539.10/20,376.65
  6. Step 6: Final answer
    x = 13,913.41

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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.