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Finding the Fourth Proportional to 10,397.56, 15,589.56 and 4,153.72

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Solution

The fourth proportional to 10,397.56, 15,589.56 and 4,153.72 is: 6,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.56 : 15,589.56 = 4,153.72 : x
  2. Step 2: Convert to fraction form
    10,397.56/15,589.56 = 4,153.72/x
  3. Step 3: Cross multiply
    10,397.56x = 15,589.56 × 4,153.72
  4. Step 4: Simplify right side
    10,397.56x = 64,754,667.16
  5. Step 5: Solve for x
    x = 64,754,667.16/10,397.56
  6. Step 6: Final answer
    x = 6,227.87

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1.5x scale

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.