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Finding the Fourth Proportional to 2,657.64, 3,668 and 1,538.40

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Solution

The fourth proportional to 2,657.64, 3,668 and 1,538.40 is: 2,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.64 : 3,668 = 1,538.40 : x
  2. Step 2: Convert to fraction form
    2,657.64/3,668 = 1,538.40/x
  3. Step 3: Cross multiply
    2,657.64x = 3,668 × 1,538.40
  4. Step 4: Simplify right side
    2,657.64x = 5,642,851.20
  5. Step 5: Solve for x
    x = 5,642,851.20/2,657.64
  6. Step 6: Final answer
    x = 2,123.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.