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Finding the Fourth Proportional to 9,188.94, 13,781.19 and 2,947.77

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Solution

The fourth proportional to 9,188.94, 13,781.19 and 2,947.77 is: 4,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.94 : 13,781.19 = 2,947.77 : x
  2. Step 2: Convert to fraction form
    9,188.94/13,781.19 = 2,947.77/x
  3. Step 3: Cross multiply
    9,188.94x = 13,781.19 × 2,947.77
  4. Step 4: Simplify right side
    9,188.94x = 40,623,778.45
  5. Step 5: Solve for x
    x = 40,623,778.45/9,188.94
  6. Step 6: Final answer
    x = 4,420.94

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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.