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Finding the Fourth Proportional to 8,702.91, 12,009.84 and 4,926

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Solution

The fourth proportional to 8,702.91, 12,009.84 and 4,926 is: 6,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.91 : 12,009.84 = 4,926 : x
  2. Step 2: Convert to fraction form
    8,702.91/12,009.84 = 4,926/x
  3. Step 3: Cross multiply
    8,702.91x = 12,009.84 × 4,926
  4. Step 4: Simplify right side
    8,702.91x = 59,160,471.84
  5. Step 5: Solve for x
    x = 59,160,471.84/8,702.91
  6. Step 6: Final answer
    x = 6,797.78

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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.