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Finding the Fourth Proportional to 9,138.86, 12,611.61 and 4,947.11

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Solution

The fourth proportional to 9,138.86, 12,611.61 and 4,947.11 is: 6,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.86 : 12,611.61 = 4,947.11 : x
  2. Step 2: Convert to fraction form
    9,138.86/12,611.61 = 4,947.11/x
  3. Step 3: Cross multiply
    9,138.86x = 12,611.61 × 4,947.11
  4. Step 4: Simplify right side
    9,138.86x = 62,391,006.18
  5. Step 5: Solve for x
    x = 62,391,006.18/9,138.86
  6. Step 6: Final answer
    x = 6,827.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.