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Finding the Fourth Proportional to 32,490.80, 48,736.20 and 7,866.80

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Solution

The fourth proportional to 32,490.80, 48,736.20 and 7,866.80 is: 11,800.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,490.80 : 48,736.20 = 7,866.80 : x
  2. Step 2: Convert to fraction form
    32,490.80/48,736.20 = 7,866.80/x
  3. Step 3: Cross multiply
    32,490.80x = 48,736.20 × 7,866.80
  4. Step 4: Simplify right side
    32,490.80x = 383,397,938.16
  5. Step 5: Solve for x
    x = 383,397,938.16/32,490.80
  6. Step 6: Final answer
    x = 11,800.20

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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.