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Finding the Fourth Proportional to 18,506.68, 25,532.82 and 14,488

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Solution

The fourth proportional to 18,506.68, 25,532.82 and 14,488 is: 19,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,506.68 : 25,532.82 = 14,488 : x
  2. Step 2: Convert to fraction form
    18,506.68/25,532.82 = 14,488/x
  3. Step 3: Cross multiply
    18,506.68x = 25,532.82 × 14,488
  4. Step 4: Simplify right side
    18,506.68x = 369,919,496.16
  5. Step 5: Solve for x
    x = 369,919,496.16/18,506.68
  6. Step 6: Final answer
    x = 19,988.43

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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.