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Finding the Fourth Proportional to 9,138.57, 12,611.24 and 4,946.82

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Solution

The fourth proportional to 9,138.57, 12,611.24 and 4,946.82 is: 6,826.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.57 : 12,611.24 = 4,946.82 : x
  2. Step 2: Convert to fraction form
    9,138.57/12,611.24 = 4,946.82/x
  3. Step 3: Cross multiply
    9,138.57x = 12,611.24 × 4,946.82
  4. Step 4: Simplify right side
    9,138.57x = 62,385,509.52
  5. Step 5: Solve for x
    x = 62,385,509.52/9,138.57
  6. Step 6: Final answer
    x = 6,826.62

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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.