Home / 2,538.32-3,806.95-977.79

Finding the Fourth Proportional to 2,538.32, 3,806.95 and 977.79

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Solution

The fourth proportional to 2,538.32, 3,806.95 and 977.79 is: 1,466.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.32 : 3,806.95 = 977.79 : x
  2. Step 2: Convert to fraction form
    2,538.32/3,806.95 = 977.79/x
  3. Step 3: Cross multiply
    2,538.32x = 3,806.95 × 977.79
  4. Step 4: Simplify right side
    2,538.32x = 3,722,378.61
  5. Step 5: Solve for x
    x = 3,722,378.61/2,538.32
  6. Step 6: Final answer
    x = 1,466.47

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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.