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Finding the Fourth Proportional to 12,427.08, 17,145.96 and 8,646

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Solution

The fourth proportional to 12,427.08, 17,145.96 and 8,646 is: 11,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.08 : 17,145.96 = 8,646 : x
  2. Step 2: Convert to fraction form
    12,427.08/17,145.96 = 8,646/x
  3. Step 3: Cross multiply
    12,427.08x = 17,145.96 × 8,646
  4. Step 4: Simplify right side
    12,427.08x = 148,243,970.16
  5. Step 5: Solve for x
    x = 148,243,970.16/12,427.08
  6. Step 6: Final answer
    x = 11,929.11

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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.