Home / 2,278.29-3,145.47-1,569.90

Finding the Fourth Proportional to 2,278.29, 3,145.47 and 1,569.90

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Solution

The fourth proportional to 2,278.29, 3,145.47 and 1,569.90 is: 2,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.29 : 3,145.47 = 1,569.90 : x
  2. Step 2: Convert to fraction form
    2,278.29/3,145.47 = 1,569.90/x
  3. Step 3: Cross multiply
    2,278.29x = 3,145.47 × 1,569.90
  4. Step 4: Simplify right side
    2,278.29x = 4,938,073.35
  5. Step 5: Solve for x
    x = 4,938,073.35/2,278.29
  6. Step 6: Final answer
    x = 2,167.45

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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.