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Finding the Fourth Proportional to 18,266, 25,207.08 and 9,882.50

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Solution

The fourth proportional to 18,266, 25,207.08 and 9,882.50 is: 13,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,266 : 25,207.08 = 9,882.50 : x
  2. Step 2: Convert to fraction form
    18,266/25,207.08 = 9,882.50/x
  3. Step 3: Cross multiply
    18,266x = 25,207.08 × 9,882.50
  4. Step 4: Simplify right side
    18,266x = 249,108,968.10
  5. Step 5: Solve for x
    x = 249,108,968.10/18,266
  6. Step 6: Final answer
    x = 13,637.85

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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.