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Finding the Fourth Proportional to 5,729.32, 7,847.19 and 5,393.08

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Solution

The fourth proportional to 5,729.32, 7,847.19 and 5,393.08 is: 7,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.32 : 7,847.19 = 5,393.08 : x
  2. Step 2: Convert to fraction form
    5,729.32/7,847.19 = 5,393.08/x
  3. Step 3: Cross multiply
    5,729.32x = 7,847.19 × 5,393.08
  4. Step 4: Simplify right side
    5,729.32x = 42,320,523.45
  5. Step 5: Solve for x
    x = 42,320,523.45/5,729.32
  6. Step 6: Final answer
    x = 7,386.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.