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Finding the Fourth Proportional to 5,728.12, 7,904.88 and 3,737.52

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Solution

The fourth proportional to 5,728.12, 7,904.88 and 3,737.52 is: 5,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.12 : 7,904.88 = 3,737.52 : x
  2. Step 2: Convert to fraction form
    5,728.12/7,904.88 = 3,737.52/x
  3. Step 3: Cross multiply
    5,728.12x = 7,904.88 × 3,737.52
  4. Step 4: Simplify right side
    5,728.12x = 29,544,647.10
  5. Step 5: Solve for x
    x = 29,544,647.10/5,728.12
  6. Step 6: Final answer
    x = 5,157.83

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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.