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Finding the Fourth Proportional to 10,122.56, 13,979.94 and 9,023.12

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Solution

The fourth proportional to 10,122.56, 13,979.94 and 9,023.12 is: 12,461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.56 : 13,979.94 = 9,023.12 : x
  2. Step 2: Convert to fraction form
    10,122.56/13,979.94 = 9,023.12/x
  3. Step 3: Cross multiply
    10,122.56x = 13,979.94 × 9,023.12
  4. Step 4: Simplify right side
    10,122.56x = 126,142,676.21
  5. Step 5: Solve for x
    x = 126,142,676.21/10,122.56
  6. Step 6: Final answer
    x = 12,461.54

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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.