Home / 2,317.80-3,478.06-1,565.78

Finding the Fourth Proportional to 2,317.80, 3,478.06 and 1,565.78

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Solution

The fourth proportional to 2,317.80, 3,478.06 and 1,565.78 is: 2,349.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.80 : 3,478.06 = 1,565.78 : x
  2. Step 2: Convert to fraction form
    2,317.80/3,478.06 = 1,565.78/x
  3. Step 3: Cross multiply
    2,317.80x = 3,478.06 × 1,565.78
  4. Step 4: Simplify right side
    2,317.80x = 5,445,876.79
  5. Step 5: Solve for x
    x = 5,445,876.79/2,317.80
  6. Step 6: Final answer
    x = 2,349.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.