Home / 5,153.43-7,730.10-1,257.78

Finding the Fourth Proportional to 5,153.43, 7,730.10 and 1,257.78

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Solution

The fourth proportional to 5,153.43, 7,730.10 and 1,257.78 is: 1,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.43 : 7,730.10 = 1,257.78 : x
  2. Step 2: Convert to fraction form
    5,153.43/7,730.10 = 1,257.78/x
  3. Step 3: Cross multiply
    5,153.43x = 7,730.10 × 1,257.78
  4. Step 4: Simplify right side
    5,153.43x = 9,722,765.18
  5. Step 5: Solve for x
    x = 9,722,765.18/5,153.43
  6. Step 6: Final answer
    x = 1,886.66

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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.