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Finding the Fourth Proportional to 27,001.78, 40,500.87 and 12,971.86

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Solution

The fourth proportional to 27,001.78, 40,500.87 and 12,971.86 is: 19,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,001.78 : 40,500.87 = 12,971.86 : x
  2. Step 2: Convert to fraction form
    27,001.78/40,500.87 = 12,971.86/x
  3. Step 3: Cross multiply
    27,001.78x = 40,500.87 × 12,971.86
  4. Step 4: Simplify right side
    27,001.78x = 525,371,615.52
  5. Step 5: Solve for x
    x = 525,371,615.52/27,001.78
  6. Step 6: Final answer
    x = 19,456.93

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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.