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Finding the Fourth Proportional to 9,138.96, 12,611.72 and 4,947.20

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Solution

The fourth proportional to 9,138.96, 12,611.72 and 4,947.20 is: 6,827.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.96 : 12,611.72 = 4,947.20 : x
  2. Step 2: Convert to fraction form
    9,138.96/12,611.72 = 4,947.20/x
  3. Step 3: Cross multiply
    9,138.96x = 12,611.72 × 4,947.20
  4. Step 4: Simplify right side
    9,138.96x = 62,392,701.18
  5. Step 5: Solve for x
    x = 62,392,701.18/9,138.96
  6. Step 6: Final answer
    x = 6,827.11

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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.