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Finding the Fourth Proportional to 5,728.32, 7,845.82 and 5,392.08

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Solution

The fourth proportional to 5,728.32, 7,845.82 and 5,392.08 is: 7,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.32 : 7,845.82 = 5,392.08 : x
  2. Step 2: Convert to fraction form
    5,728.32/7,845.82 = 5,392.08/x
  3. Step 3: Cross multiply
    5,728.32x = 7,845.82 × 5,392.08
  4. Step 4: Simplify right side
    5,728.32x = 42,305,289.11
  5. Step 5: Solve for x
    x = 42,305,289.11/5,728.32
  6. Step 6: Final answer
    x = 7,385.29

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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.