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Finding the Fourth Proportional to 18,503.68, 25,535.28 and 10,120

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Solution

The fourth proportional to 18,503.68, 25,535.28 and 10,120 is: 13,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,503.68 : 25,535.28 = 10,120 : x
  2. Step 2: Convert to fraction form
    18,503.68/25,535.28 = 10,120/x
  3. Step 3: Cross multiply
    18,503.68x = 25,535.28 × 10,120
  4. Step 4: Simplify right side
    18,503.68x = 258,417,033.60
  5. Step 5: Solve for x
    x = 258,417,033.60/18,503.68
  6. Step 6: Final answer
    x = 13,965.71

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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.