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Finding the Fourth Proportional to 14,506.50, 20,020.86 and 8,538.72

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Solution

The fourth proportional to 14,506.50, 20,020.86 and 8,538.72 is: 11,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.50 : 20,020.86 = 8,538.72 : x
  2. Step 2: Convert to fraction form
    14,506.50/20,020.86 = 8,538.72/x
  3. Step 3: Cross multiply
    14,506.50x = 20,020.86 × 8,538.72
  4. Step 4: Simplify right side
    14,506.50x = 170,952,517.70
  5. Step 5: Solve for x
    x = 170,952,517.70/14,506.50
  6. Step 6: Final answer
    x = 11,784.55

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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.