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Finding the Fourth Proportional to 9,138.63, 12,611.36 and 4,946.88

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Solution

The fourth proportional to 9,138.63, 12,611.36 and 4,946.88 is: 6,826.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.63 : 12,611.36 = 4,946.88 : x
  2. Step 2: Convert to fraction form
    9,138.63/12,611.36 = 4,946.88/x
  3. Step 3: Cross multiply
    9,138.63x = 12,611.36 × 4,946.88
  4. Step 4: Simplify right side
    9,138.63x = 62,386,896.92
  5. Step 5: Solve for x
    x = 62,386,896.92/9,138.63
  6. Step 6: Final answer
    x = 6,826.72

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Double scale
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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.