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Finding the Fourth Proportional to 18,217, 25,135.14 and 10,257.64

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Solution

The fourth proportional to 18,217, 25,135.14 and 10,257.64 is: 14,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,217 : 25,135.14 = 10,257.64 : x
  2. Step 2: Convert to fraction form
    18,217/25,135.14 = 10,257.64/x
  3. Step 3: Cross multiply
    18,217x = 25,135.14 × 10,257.64
  4. Step 4: Simplify right side
    18,217x = 257,827,217.47
  5. Step 5: Solve for x
    x = 257,827,217.47/18,217
  6. Step 6: Final answer
    x = 14,153.11

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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.