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Finding the Fourth Proportional to 23,116.80, 31,874.16 and 21,871.20

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Solution

The fourth proportional to 23,116.80, 31,874.16 and 21,871.20 is: 30,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.80 : 31,874.16 = 21,871.20 : x
  2. Step 2: Convert to fraction form
    23,116.80/31,874.16 = 21,871.20/x
  3. Step 3: Cross multiply
    23,116.80x = 31,874.16 × 21,871.20
  4. Step 4: Simplify right side
    23,116.80x = 697,126,128.19
  5. Step 5: Solve for x
    x = 697,126,128.19/23,116.80
  6. Step 6: Final answer
    x = 30,156.69

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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.