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Finding the Fourth Proportional to 9,412.11, 14,112.54 and 8,026.20

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Solution

The fourth proportional to 9,412.11, 14,112.54 and 8,026.20 is: 12,034.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.11 : 14,112.54 = 8,026.20 : x
  2. Step 2: Convert to fraction form
    9,412.11/14,112.54 = 8,026.20/x
  3. Step 3: Cross multiply
    9,412.11x = 14,112.54 × 8,026.20
  4. Step 4: Simplify right side
    9,412.11x = 113,270,068.55
  5. Step 5: Solve for x
    x = 113,270,068.55/9,412.11
  6. Step 6: Final answer
    x = 12,034.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.