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Finding the Fourth Proportional to 8,432.71, 12,676.74 and 7,823.77

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Solution

The fourth proportional to 8,432.71, 12,676.74 and 7,823.77 is: 11,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.71 : 12,676.74 = 7,823.77 : x
  2. Step 2: Convert to fraction form
    8,432.71/12,676.74 = 7,823.77/x
  3. Step 3: Cross multiply
    8,432.71x = 12,676.74 × 7,823.77
  4. Step 4: Simplify right side
    8,432.71x = 99,179,795.61
  5. Step 5: Solve for x
    x = 99,179,795.61/8,432.71
  6. Step 6: Final answer
    x = 11,761.33

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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.