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Finding the Fourth Proportional to 2,538.38, 3,807.57 and 689.50

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Solution

The fourth proportional to 2,538.38, 3,807.57 and 689.50 is: 1,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.38 : 3,807.57 = 689.50 : x
  2. Step 2: Convert to fraction form
    2,538.38/3,807.57 = 689.50/x
  3. Step 3: Cross multiply
    2,538.38x = 3,807.57 × 689.50
  4. Step 4: Simplify right side
    2,538.38x = 2,625,300.48
  5. Step 5: Solve for x
    x = 2,625,300.48/2,538.38
  6. Step 6: Final answer
    x = 1,034.24

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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.