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Finding the Fourth Proportional to 10,257.84, 15,373.80 and 10,147.68

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Solution

The fourth proportional to 10,257.84, 15,373.80 and 10,147.68 is: 15,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.84 : 15,373.80 = 10,147.68 : x
  2. Step 2: Convert to fraction form
    10,257.84/15,373.80 = 10,147.68/x
  3. Step 3: Cross multiply
    10,257.84x = 15,373.80 × 10,147.68
  4. Step 4: Simplify right side
    10,257.84x = 156,008,402.78
  5. Step 5: Solve for x
    x = 156,008,402.78/10,257.84
  6. Step 6: Final answer
    x = 15,208.70

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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.