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Finding the Fourth Proportional to 18,265.50, 25,206.39 and 9,882

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Solution

The fourth proportional to 18,265.50, 25,206.39 and 9,882 is: 13,637.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,265.50 : 25,206.39 = 9,882 : x
  2. Step 2: Convert to fraction form
    18,265.50/25,206.39 = 9,882/x
  3. Step 3: Cross multiply
    18,265.50x = 25,206.39 × 9,882
  4. Step 4: Simplify right side
    18,265.50x = 249,089,545.98
  5. Step 5: Solve for x
    x = 249,089,545.98/18,265.50
  6. Step 6: Final answer
    x = 13,637.16

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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.