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Finding the Fourth Proportional to 14,982, 20,675.20 and 8,358

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Solution

The fourth proportional to 14,982, 20,675.20 and 8,358 is: 11,534.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982 : 20,675.20 = 8,358 : x
  2. Step 2: Convert to fraction form
    14,982/20,675.20 = 8,358/x
  3. Step 3: Cross multiply
    14,982x = 20,675.20 × 8,358
  4. Step 4: Simplify right side
    14,982x = 172,803,321.60
  5. Step 5: Solve for x
    x = 172,803,321.60/14,982
  6. Step 6: Final answer
    x = 11,534.06

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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.