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Finding the Fourth Proportional to 26,632, 39,946.92 and 7,911.28

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Solution

The fourth proportional to 26,632, 39,946.92 and 7,911.28 is: 11,866.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,632 : 39,946.92 = 7,911.28 : x
  2. Step 2: Convert to fraction form
    26,632/39,946.92 = 7,911.28/x
  3. Step 3: Cross multiply
    26,632x = 39,946.92 × 7,911.28
  4. Step 4: Simplify right side
    26,632x = 316,031,269.26
  5. Step 5: Solve for x
    x = 316,031,269.26/26,632
  6. Step 6: Final answer
    x = 11,866.60

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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.