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Finding the Fourth Proportional to 20,448.29, 30,658.07 and 7,957.78

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Solution

The fourth proportional to 20,448.29, 30,658.07 and 7,957.78 is: 11,931.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.29 : 30,658.07 = 7,957.78 : x
  2. Step 2: Convert to fraction form
    20,448.29/30,658.07 = 7,957.78/x
  3. Step 3: Cross multiply
    20,448.29x = 30,658.07 × 7,957.78
  4. Step 4: Simplify right side
    20,448.29x = 243,970,119.53
  5. Step 5: Solve for x
    x = 243,970,119.53/20,448.29
  6. Step 6: Final answer
    x = 11,931.08

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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.