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Finding the Fourth Proportional to 8,291.72, 12,435.06 and 6,827.24

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Solution

The fourth proportional to 8,291.72, 12,435.06 and 6,827.24 is: 10,238.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.72 : 12,435.06 = 6,827.24 : x
  2. Step 2: Convert to fraction form
    8,291.72/12,435.06 = 6,827.24/x
  3. Step 3: Cross multiply
    8,291.72x = 12,435.06 × 6,827.24
  4. Step 4: Simplify right side
    8,291.72x = 84,897,139.03
  5. Step 5: Solve for x
    x = 84,897,139.03/8,291.72
  6. Step 6: Final answer
    x = 10,238.79

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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.