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Finding the Fourth Proportional to 3,761.93, 5,642.92 and 988.37

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Solution

The fourth proportional to 3,761.93, 5,642.92 and 988.37 is: 1,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.93 : 5,642.92 = 988.37 : x
  2. Step 2: Convert to fraction form
    3,761.93/5,642.92 = 988.37/x
  3. Step 3: Cross multiply
    3,761.93x = 5,642.92 × 988.37
  4. Step 4: Simplify right side
    3,761.93x = 5,577,311.22
  5. Step 5: Solve for x
    x = 5,577,311.22/3,761.93
  6. Step 6: Final answer
    x = 1,482.56

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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.