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Finding the Fourth Proportional to 20,484.74, 30,739.04 and 8,637.78

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Solution

The fourth proportional to 20,484.74, 30,739.04 and 8,637.78 is: 12,961.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,484.74 : 30,739.04 = 8,637.78 : x
  2. Step 2: Convert to fraction form
    20,484.74/30,739.04 = 8,637.78/x
  3. Step 3: Cross multiply
    20,484.74x = 30,739.04 × 8,637.78
  4. Step 4: Simplify right side
    20,484.74x = 265,517,064.93
  5. Step 5: Solve for x
    x = 265,517,064.93/20,484.74
  6. Step 6: Final answer
    x = 12,961.70

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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.