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Finding the Fourth Proportional to 1,552, 2,140.80 and 1,242.24

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Solution

The fourth proportional to 1,552, 2,140.80 and 1,242.24 is: 1,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552 : 2,140.80 = 1,242.24 : x
  2. Step 2: Convert to fraction form
    1,552/2,140.80 = 1,242.24/x
  3. Step 3: Cross multiply
    1,552x = 2,140.80 × 1,242.24
  4. Step 4: Simplify right side
    1,552x = 2,659,387.39
  5. Step 5: Solve for x
    x = 2,659,387.39/1,552
  6. Step 6: Final answer
    x = 1,713.52

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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.