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Finding the Fourth Proportional to 27,686.54, 41,530.45 and 9,918.42

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Solution

The fourth proportional to 27,686.54, 41,530.45 and 9,918.42 is: 14,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.54 : 41,530.45 = 9,918.42 : x
  2. Step 2: Convert to fraction form
    27,686.54/41,530.45 = 9,918.42/x
  3. Step 3: Cross multiply
    27,686.54x = 41,530.45 × 9,918.42
  4. Step 4: Simplify right side
    27,686.54x = 411,916,445.89
  5. Step 5: Solve for x
    x = 411,916,445.89/27,686.54
  6. Step 6: Final answer
    x = 14,877.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.