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Finding the Fourth Proportional to 7,155.78, 9,871.53 and 4,766.85

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Solution

The fourth proportional to 7,155.78, 9,871.53 and 4,766.85 is: 6,575.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.78 : 9,871.53 = 4,766.85 : x
  2. Step 2: Convert to fraction form
    7,155.78/9,871.53 = 4,766.85/x
  3. Step 3: Cross multiply
    7,155.78x = 9,871.53 × 4,766.85
  4. Step 4: Simplify right side
    7,155.78x = 47,056,102.78
  5. Step 5: Solve for x
    x = 47,056,102.78/7,155.78
  6. Step 6: Final answer
    x = 6,575.96

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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.