Home / 1,775.28-2,449.08-1,542

Finding the Fourth Proportional to 1,775.28, 2,449.08 and 1,542

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Solution

The fourth proportional to 1,775.28, 2,449.08 and 1,542 is: 2,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.28 : 2,449.08 = 1,542 : x
  2. Step 2: Convert to fraction form
    1,775.28/2,449.08 = 1,542/x
  3. Step 3: Cross multiply
    1,775.28x = 2,449.08 × 1,542
  4. Step 4: Simplify right side
    1,775.28x = 3,776,481.36
  5. Step 5: Solve for x
    x = 3,776,481.36/1,775.28
  6. Step 6: Final answer
    x = 2,127.26

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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.