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Finding the Fourth Proportional to 1,538.16, 2,122.62 and 940.88

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Solution

The fourth proportional to 1,538.16, 2,122.62 and 940.88 is: 1,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.16 : 2,122.62 = 940.88 : x
  2. Step 2: Convert to fraction form
    1,538.16/2,122.62 = 940.88/x
  3. Step 3: Cross multiply
    1,538.16x = 2,122.62 × 940.88
  4. Step 4: Simplify right side
    1,538.16x = 1,997,132.48
  5. Step 5: Solve for x
    x = 1,997,132.48/1,538.16
  6. Step 6: Final answer
    x = 1,298.39

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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.