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Finding the Fourth Proportional to 9,412.86, 12,989.92 and 5,164.14

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Solution

The fourth proportional to 9,412.86, 12,989.92 and 5,164.14 is: 7,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.86 : 12,989.92 = 5,164.14 : x
  2. Step 2: Convert to fraction form
    9,412.86/12,989.92 = 5,164.14/x
  3. Step 3: Cross multiply
    9,412.86x = 12,989.92 × 5,164.14
  4. Step 4: Simplify right side
    9,412.86x = 67,081,674.70
  5. Step 5: Solve for x
    x = 67,081,674.70/9,412.86
  6. Step 6: Final answer
    x = 7,126.60

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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.