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Finding the Fourth Proportional to 39,713.76, 54,802.84 and 21,811.12

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Solution

The fourth proportional to 39,713.76, 54,802.84 and 21,811.12 is: 30,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,713.76 : 54,802.84 = 21,811.12 : x
  2. Step 2: Convert to fraction form
    39,713.76/54,802.84 = 21,811.12/x
  3. Step 3: Cross multiply
    39,713.76x = 54,802.84 × 21,811.12
  4. Step 4: Simplify right side
    39,713.76x = 1,195,311,319.58
  5. Step 5: Solve for x
    x = 1,195,311,319.58/39,713.76
  6. Step 6: Final answer
    x = 30,098.17

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1.5x scale

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.