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Finding the Fourth Proportional to 9,310.96, 12,854.10 and 5,777.20

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Solution

The fourth proportional to 9,310.96, 12,854.10 and 5,777.20 is: 7,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.96 : 12,854.10 = 5,777.20 : x
  2. Step 2: Convert to fraction form
    9,310.96/12,854.10 = 5,777.20/x
  3. Step 3: Cross multiply
    9,310.96x = 12,854.10 × 5,777.20
  4. Step 4: Simplify right side
    9,310.96x = 74,260,706.52
  5. Step 5: Solve for x
    x = 74,260,706.52/9,310.96
  6. Step 6: Final answer
    x = 7,975.62

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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.