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Finding the Fourth Proportional to 7,148.80, 10,726.80 and 3,255.76

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Solution

The fourth proportional to 7,148.80, 10,726.80 and 3,255.76 is: 4,885.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.80 : 10,726.80 = 3,255.76 : x
  2. Step 2: Convert to fraction form
    7,148.80/10,726.80 = 3,255.76/x
  3. Step 3: Cross multiply
    7,148.80x = 10,726.80 × 3,255.76
  4. Step 4: Simplify right side
    7,148.80x = 34,923,886.37
  5. Step 5: Solve for x
    x = 34,923,886.37/7,148.80
  6. Step 6: Final answer
    x = 4,885.28

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1.5x scale

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.