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Finding the Fourth Proportional to 40,428, 60,562.80 and 20,648.16

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Solution

The fourth proportional to 40,428, 60,562.80 and 20,648.16 is: 30,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,428 : 60,562.80 = 20,648.16 : x
  2. Step 2: Convert to fraction form
    40,428/60,562.80 = 20,648.16/x
  3. Step 3: Cross multiply
    40,428x = 60,562.80 × 20,648.16
  4. Step 4: Simplify right side
    40,428x = 1,250,510,384.45
  5. Step 5: Solve for x
    x = 1,250,510,384.45/40,428
  6. Step 6: Final answer
    x = 30,931.79

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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.