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Finding the Fourth Proportional to 5,641.48, 8,456.90 and 1,941.12

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Solution

The fourth proportional to 5,641.48, 8,456.90 and 1,941.12 is: 2,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.48 : 8,456.90 = 1,941.12 : x
  2. Step 2: Convert to fraction form
    5,641.48/8,456.90 = 1,941.12/x
  3. Step 3: Cross multiply
    5,641.48x = 8,456.90 × 1,941.12
  4. Step 4: Simplify right side
    5,641.48x = 16,415,857.73
  5. Step 5: Solve for x
    x = 16,415,857.73/5,641.48
  6. Step 6: Final answer
    x = 2,909.85

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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.