Home / 2,317.28-3,200-1,490.72

Finding the Fourth Proportional to 2,317.28, 3,200 and 1,490.72

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Solution

The fourth proportional to 2,317.28, 3,200 and 1,490.72 is: 2,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.28 : 3,200 = 1,490.72 : x
  2. Step 2: Convert to fraction form
    2,317.28/3,200 = 1,490.72/x
  3. Step 3: Cross multiply
    2,317.28x = 3,200 × 1,490.72
  4. Step 4: Simplify right side
    2,317.28x = 4,770,304
  5. Step 5: Solve for x
    x = 4,770,304/2,317.28
  6. Step 6: Final answer
    x = 2,058.58

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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.