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Finding the Fourth Proportional to 10,233.68, 15,384.74 and 8,398.40

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Solution

The fourth proportional to 10,233.68, 15,384.74 and 8,398.40 is: 12,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.68 : 15,384.74 = 8,398.40 : x
  2. Step 2: Convert to fraction form
    10,233.68/15,384.74 = 8,398.40/x
  3. Step 3: Cross multiply
    10,233.68x = 15,384.74 × 8,398.40
  4. Step 4: Simplify right side
    10,233.68x = 129,207,200.42
  5. Step 5: Solve for x
    x = 129,207,200.42/10,233.68
  6. Step 6: Final answer
    x = 12,625.68

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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.