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Finding the Fourth Proportional to 5,393.80, 7,447.13 and 4,132.63

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Solution

The fourth proportional to 5,393.80, 7,447.13 and 4,132.63 is: 5,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.80 : 7,447.13 = 4,132.63 : x
  2. Step 2: Convert to fraction form
    5,393.80/7,447.13 = 4,132.63/x
  3. Step 3: Cross multiply
    5,393.80x = 7,447.13 × 4,132.63
  4. Step 4: Simplify right side
    5,393.80x = 30,776,232.85
  5. Step 5: Solve for x
    x = 30,776,232.85/5,393.80
  6. Step 6: Final answer
    x = 5,705.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.