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Finding the Fourth Proportional to 2,657.80, 3,668.12 and 1,538.38

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Solution

The fourth proportional to 2,657.80, 3,668.12 and 1,538.38 is: 2,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.80 : 3,668.12 = 1,538.38 : x
  2. Step 2: Convert to fraction form
    2,657.80/3,668.12 = 1,538.38/x
  3. Step 3: Cross multiply
    2,657.80x = 3,668.12 × 1,538.38
  4. Step 4: Simplify right side
    2,657.80x = 5,642,962.45
  5. Step 5: Solve for x
    x = 5,642,962.45/2,657.80
  6. Step 6: Final answer
    x = 2,123.17

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1.5x scale

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.