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Finding the Fourth Proportional to 9,490.70, 14,241.14 and 3,947.86

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Solution

The fourth proportional to 9,490.70, 14,241.14 and 3,947.86 is: 5,923.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.70 : 14,241.14 = 3,947.86 : x
  2. Step 2: Convert to fraction form
    9,490.70/14,241.14 = 3,947.86/x
  3. Step 3: Cross multiply
    9,490.70x = 14,241.14 × 3,947.86
  4. Step 4: Simplify right side
    9,490.70x = 56,222,026.96
  5. Step 5: Solve for x
    x = 56,222,026.96/9,490.70
  6. Step 6: Final answer
    x = 5,923.91

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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.