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Finding the Fourth Proportional to 21,871.70, 32,807.55 and 20,182.10

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Solution

The fourth proportional to 21,871.70, 32,807.55 and 20,182.10 is: 30,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,871.70 : 32,807.55 = 20,182.10 : x
  2. Step 2: Convert to fraction form
    21,871.70/32,807.55 = 20,182.10/x
  3. Step 3: Cross multiply
    21,871.70x = 32,807.55 × 20,182.10
  4. Step 4: Simplify right side
    21,871.70x = 662,125,254.86
  5. Step 5: Solve for x
    x = 662,125,254.86/21,871.70
  6. Step 6: Final answer
    x = 30,273.15

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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.