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Finding the Fourth Proportional to 14,806.50, 20,432.97 and 9,217.50

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Solution

The fourth proportional to 14,806.50, 20,432.97 and 9,217.50 is: 12,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.50 : 20,432.97 = 9,217.50 : x
  2. Step 2: Convert to fraction form
    14,806.50/20,432.97 = 9,217.50/x
  3. Step 3: Cross multiply
    14,806.50x = 20,432.97 × 9,217.50
  4. Step 4: Simplify right side
    14,806.50x = 188,340,900.98
  5. Step 5: Solve for x
    x = 188,340,900.98/14,806.50
  6. Step 6: Final answer
    x = 12,720.15

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1.5x scale

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.