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Finding the Fourth Proportional to 5,169.32, 7,753.97 and 1,521.32

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Solution

The fourth proportional to 5,169.32, 7,753.97 and 1,521.32 is: 2,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.32 : 7,753.97 = 1,521.32 : x
  2. Step 2: Convert to fraction form
    5,169.32/7,753.97 = 1,521.32/x
  3. Step 3: Cross multiply
    5,169.32x = 7,753.97 × 1,521.32
  4. Step 4: Simplify right side
    5,169.32x = 11,796,269.64
  5. Step 5: Solve for x
    x = 11,796,269.64/5,169.32
  6. Step 6: Final answer
    x = 2,281.98

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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.