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Finding the Fourth Proportional to 32,980.48, 49,470 and 8,020.64

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Solution

The fourth proportional to 32,980.48, 49,470 and 8,020.64 is: 12,030.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.48 : 49,470 = 8,020.64 : x
  2. Step 2: Convert to fraction form
    32,980.48/49,470 = 8,020.64/x
  3. Step 3: Cross multiply
    32,980.48x = 49,470 × 8,020.64
  4. Step 4: Simplify right side
    32,980.48x = 396,781,060.80
  5. Step 5: Solve for x
    x = 396,781,060.80/32,980.48
  6. Step 6: Final answer
    x = 12,030.78

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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.