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Finding the Fourth Proportional to 3,641.32, 5,458.02 and 1,448.92

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Solution

The fourth proportional to 3,641.32, 5,458.02 and 1,448.92 is: 2,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.32 : 5,458.02 = 1,448.92 : x
  2. Step 2: Convert to fraction form
    3,641.32/5,458.02 = 1,448.92/x
  3. Step 3: Cross multiply
    3,641.32x = 5,458.02 × 1,448.92
  4. Step 4: Simplify right side
    3,641.32x = 7,908,234.34
  5. Step 5: Solve for x
    x = 7,908,234.34/3,641.32
  6. Step 6: Final answer
    x = 2,171.80

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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.