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Finding the Fourth Proportional to 8,143.32, 12,146.06 and 7,897.16

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Solution

The fourth proportional to 8,143.32, 12,146.06 and 7,897.16 is: 11,778.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.32 : 12,146.06 = 7,897.16 : x
  2. Step 2: Convert to fraction form
    8,143.32/12,146.06 = 7,897.16/x
  3. Step 3: Cross multiply
    8,143.32x = 12,146.06 × 7,897.16
  4. Step 4: Simplify right side
    8,143.32x = 95,919,379.19
  5. Step 5: Solve for x
    x = 95,919,379.19/8,143.32
  6. Step 6: Final answer
    x = 11,778.90

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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.