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Finding the Fourth Proportional to 25,170.80, 37,761.69 and 7,642.00

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Solution

The fourth proportional to 25,170.80, 37,761.69 and 7,642.00 is: 11,464.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,170.80 : 37,761.69 = 7,642.00 : x
  2. Step 2: Convert to fraction form
    25,170.80/37,761.69 = 7,642.00/x
  3. Step 3: Cross multiply
    25,170.80x = 37,761.69 × 7,642.00
  4. Step 4: Simplify right side
    25,170.80x = 288,574,646.17
  5. Step 5: Solve for x
    x = 288,574,646.17/25,170.80
  6. Step 6: Final answer
    x = 11,464.66

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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.