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Finding the Fourth Proportional to 37,490.80, 51,744 and 28,524.64

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Solution

The fourth proportional to 37,490.80, 51,744 and 28,524.64 is: 39,369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,490.80 : 51,744 = 28,524.64 : x
  2. Step 2: Convert to fraction form
    37,490.80/51,744 = 28,524.64/x
  3. Step 3: Cross multiply
    37,490.80x = 51,744 × 28,524.64
  4. Step 4: Simplify right side
    37,490.80x = 1,475,978,972.16
  5. Step 5: Solve for x
    x = 1,475,978,972.16/37,490.80
  6. Step 6: Final answer
    x = 39,369.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.