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Finding the Fourth Proportional to 14,624, 20,184.72 and 8,340

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Solution

The fourth proportional to 14,624, 20,184.72 and 8,340 is: 11,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624 : 20,184.72 = 8,340 : x
  2. Step 2: Convert to fraction form
    14,624/20,184.72 = 8,340/x
  3. Step 3: Cross multiply
    14,624x = 20,184.72 × 8,340
  4. Step 4: Simplify right side
    14,624x = 168,340,564.80
  5. Step 5: Solve for x
    x = 168,340,564.80/14,624
  6. Step 6: Final answer
    x = 11,511.25

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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.