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Finding the Fourth Proportional to 12,844.08, 17,723.88 and 8,658

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Solution

The fourth proportional to 12,844.08, 17,723.88 and 8,658 is: 11,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,844.08 : 17,723.88 = 8,658 : x
  2. Step 2: Convert to fraction form
    12,844.08/17,723.88 = 8,658/x
  3. Step 3: Cross multiply
    12,844.08x = 17,723.88 × 8,658
  4. Step 4: Simplify right side
    12,844.08x = 153,453,353.04
  5. Step 5: Solve for x
    x = 153,453,353.04/12,844.08
  6. Step 6: Final answer
    x = 11,947.40

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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.