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Finding the Fourth Proportional to 27,708.40, 41,562.72 and 7,987.36

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Solution

The fourth proportional to 27,708.40, 41,562.72 and 7,987.36 is: 11,981.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,708.40 : 41,562.72 = 7,987.36 : x
  2. Step 2: Convert to fraction form
    27,708.40/41,562.72 = 7,987.36/x
  3. Step 3: Cross multiply
    27,708.40x = 41,562.72 × 7,987.36
  4. Step 4: Simplify right side
    27,708.40x = 331,976,407.22
  5. Step 5: Solve for x
    x = 331,976,407.22/27,708.40
  6. Step 6: Final answer
    x = 11,981.07

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1.5x scale

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.