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Finding the Fourth Proportional to 14,984, 20,677.92 and 8,360

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Solution

The fourth proportional to 14,984, 20,677.92 and 8,360 is: 11,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,984 : 20,677.92 = 8,360 : x
  2. Step 2: Convert to fraction form
    14,984/20,677.92 = 8,360/x
  3. Step 3: Cross multiply
    14,984x = 20,677.92 × 8,360
  4. Step 4: Simplify right side
    14,984x = 172,867,411.20
  5. Step 5: Solve for x
    x = 172,867,411.20/14,984
  6. Step 6: Final answer
    x = 11,536.80

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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.