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Finding the Fourth Proportional to 7,148.78, 10,726.84 and 3,404.80

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Solution

The fourth proportional to 7,148.78, 10,726.84 and 3,404.80 is: 5,108.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.78 : 10,726.84 = 3,404.80 : x
  2. Step 2: Convert to fraction form
    7,148.78/10,726.84 = 3,404.80/x
  3. Step 3: Cross multiply
    7,148.78x = 10,726.84 × 3,404.80
  4. Step 4: Simplify right side
    7,148.78x = 36,522,744.83
  5. Step 5: Solve for x
    x = 36,522,744.83/7,148.78
  6. Step 6: Final answer
    x = 5,108.95

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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.