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Finding the Fourth Proportional to 14,985, 20,679.30 and 8,361

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Solution

The fourth proportional to 14,985, 20,679.30 and 8,361 is: 11,538.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,985 : 20,679.30 = 8,361 : x
  2. Step 2: Convert to fraction form
    14,985/20,679.30 = 8,361/x
  3. Step 3: Cross multiply
    14,985x = 20,679.30 × 8,361
  4. Step 4: Simplify right side
    14,985x = 172,899,627.30
  5. Step 5: Solve for x
    x = 172,899,627.30/14,985
  6. Step 6: Final answer
    x = 11,538.18

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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.