Home / 2,565.76-3,842.40-1,466.78

Finding the Fourth Proportional to 2,565.76, 3,842.40 and 1,466.78

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Solution

The fourth proportional to 2,565.76, 3,842.40 and 1,466.78 is: 2,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,565.76 : 3,842.40 = 1,466.78 : x
  2. Step 2: Convert to fraction form
    2,565.76/3,842.40 = 1,466.78/x
  3. Step 3: Cross multiply
    2,565.76x = 3,842.40 × 1,466.78
  4. Step 4: Simplify right side
    2,565.76x = 5,635,955.47
  5. Step 5: Solve for x
    x = 5,635,955.47/2,565.76
  6. Step 6: Final answer
    x = 2,196.60

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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.