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Finding the Fourth Proportional to 8,427.92, 11,625.98 and 6,435

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Solution

The fourth proportional to 8,427.92, 11,625.98 and 6,435 is: 8,876.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.92 : 11,625.98 = 6,435 : x
  2. Step 2: Convert to fraction form
    8,427.92/11,625.98 = 6,435/x
  3. Step 3: Cross multiply
    8,427.92x = 11,625.98 × 6,435
  4. Step 4: Simplify right side
    8,427.92x = 74,813,149.13
  5. Step 5: Solve for x
    x = 74,813,149.13/8,427.92
  6. Step 6: Final answer
    x = 8,876.83

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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.