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Finding the Fourth Proportional to 9,412.16, 12,971.04 and 8,149.28

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Solution

The fourth proportional to 9,412.16, 12,971.04 and 8,149.28 is: 11,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.16 : 12,971.04 = 8,149.28 : x
  2. Step 2: Convert to fraction form
    9,412.16/12,971.04 = 8,149.28/x
  3. Step 3: Cross multiply
    9,412.16x = 12,971.04 × 8,149.28
  4. Step 4: Simplify right side
    9,412.16x = 105,704,636.85
  5. Step 5: Solve for x
    x = 105,704,636.85/9,412.16
  6. Step 6: Final answer
    x = 11,230.65

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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.