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Finding the Fourth Proportional to 1,538.23, 2,123.07 and 875.14

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Solution

The fourth proportional to 1,538.23, 2,123.07 and 875.14 is: 1,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.23 : 2,123.07 = 875.14 : x
  2. Step 2: Convert to fraction form
    1,538.23/2,123.07 = 875.14/x
  3. Step 3: Cross multiply
    1,538.23x = 2,123.07 × 875.14
  4. Step 4: Simplify right side
    1,538.23x = 1,857,983.48
  5. Step 5: Solve for x
    x = 1,857,983.48/1,538.23
  6. Step 6: Final answer
    x = 1,207.87

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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.