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Finding the Fourth Proportional to 18,484, 25,507.92 and 10,100.48

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Solution

The fourth proportional to 18,484, 25,507.92 and 10,100.48 is: 13,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,484 : 25,507.92 = 10,100.48 : x
  2. Step 2: Convert to fraction form
    18,484/25,507.92 = 10,100.48/x
  3. Step 3: Cross multiply
    18,484x = 25,507.92 × 10,100.48
  4. Step 4: Simplify right side
    18,484x = 257,642,235.80
  5. Step 5: Solve for x
    x = 257,642,235.80/18,484
  6. Step 6: Final answer
    x = 13,938.66

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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.