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Finding the Fourth Proportional to 9,314.64, 12,854.12 and 5,122.89

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Solution

The fourth proportional to 9,314.64, 12,854.12 and 5,122.89 is: 7,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.64 : 12,854.12 = 5,122.89 : x
  2. Step 2: Convert to fraction form
    9,314.64/12,854.12 = 5,122.89/x
  3. Step 3: Cross multiply
    9,314.64x = 12,854.12 × 5,122.89
  4. Step 4: Simplify right side
    9,314.64x = 65,850,217.19
  5. Step 5: Solve for x
    x = 65,850,217.19/9,314.64
  6. Step 6: Final answer
    x = 7,069.54

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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.