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Finding the Fourth Proportional to 15,156.29, 20,928.89 and 9,500.75

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Solution

The fourth proportional to 15,156.29, 20,928.89 and 9,500.75 is: 13,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,156.29 : 20,928.89 = 9,500.75 : x
  2. Step 2: Convert to fraction form
    15,156.29/20,928.89 = 9,500.75/x
  3. Step 3: Cross multiply
    15,156.29x = 20,928.89 × 9,500.75
  4. Step 4: Simplify right side
    15,156.29x = 198,839,999.52
  5. Step 5: Solve for x
    x = 198,839,999.52/15,156.29
  6. Step 6: Final answer
    x = 13,119.31

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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.