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Finding the Fourth Proportional to 8,126.64, 12,109.04 and 7,254.24

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Solution

The fourth proportional to 8,126.64, 12,109.04 and 7,254.24 is: 10,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.64 : 12,109.04 = 7,254.24 : x
  2. Step 2: Convert to fraction form
    8,126.64/12,109.04 = 7,254.24/x
  3. Step 3: Cross multiply
    8,126.64x = 12,109.04 × 7,254.24
  4. Step 4: Simplify right side
    8,126.64x = 87,841,882.33
  5. Step 5: Solve for x
    x = 87,841,882.33/8,126.64
  6. Step 6: Final answer
    x = 10,809.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.