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Finding the Fourth Proportional to 2,637.24, 3,955.85 and 689.45

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Solution

The fourth proportional to 2,637.24, 3,955.85 and 689.45 is: 1,034.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.24 : 3,955.85 = 689.45 : x
  2. Step 2: Convert to fraction form
    2,637.24/3,955.85 = 689.45/x
  3. Step 3: Cross multiply
    2,637.24x = 3,955.85 × 689.45
  4. Step 4: Simplify right side
    2,637.24x = 2,727,337.56
  5. Step 5: Solve for x
    x = 2,727,337.56/2,637.24
  6. Step 6: Final answer
    x = 1,034.16

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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.