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Finding the Fourth Proportional to 7,155.73, 9,869.61 and 4,793.77

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Solution

The fourth proportional to 7,155.73, 9,869.61 and 4,793.77 is: 6,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.73 : 9,869.61 = 4,793.77 : x
  2. Step 2: Convert to fraction form
    7,155.73/9,869.61 = 4,793.77/x
  3. Step 3: Cross multiply
    7,155.73x = 9,869.61 × 4,793.77
  4. Step 4: Simplify right side
    7,155.73x = 47,312,640.33
  5. Step 5: Solve for x
    x = 47,312,640.33/7,155.73
  6. Step 6: Final answer
    x = 6,611.85

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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.