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Finding the Fourth Proportional to 14,774.32, 22,161.48 and 8,614

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Solution

The fourth proportional to 14,774.32, 22,161.48 and 8,614 is: 12,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.32 : 22,161.48 = 8,614 : x
  2. Step 2: Convert to fraction form
    14,774.32/22,161.48 = 8,614/x
  3. Step 3: Cross multiply
    14,774.32x = 22,161.48 × 8,614
  4. Step 4: Simplify right side
    14,774.32x = 190,898,988.72
  5. Step 5: Solve for x
    x = 190,898,988.72/14,774.32
  6. Step 6: Final answer
    x = 12,921

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.