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Finding the Fourth Proportional to 2,527.32, 3,791.10 and 988.68

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Solution

The fourth proportional to 2,527.32, 3,791.10 and 988.68 is: 1,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.32 : 3,791.10 = 988.68 : x
  2. Step 2: Convert to fraction form
    2,527.32/3,791.10 = 988.68/x
  3. Step 3: Cross multiply
    2,527.32x = 3,791.10 × 988.68
  4. Step 4: Simplify right side
    2,527.32x = 3,748,184.75
  5. Step 5: Solve for x
    x = 3,748,184.75/2,527.32
  6. Step 6: Final answer
    x = 1,483.07

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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.