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Finding the Fourth Proportional to 14,770.50, 22,162.23 and 8,614.50

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Solution

The fourth proportional to 14,770.50, 22,162.23 and 8,614.50 is: 12,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,770.50 : 22,162.23 = 8,614.50 : x
  2. Step 2: Convert to fraction form
    14,770.50/22,162.23 = 8,614.50/x
  3. Step 3: Cross multiply
    14,770.50x = 22,162.23 × 8,614.50
  4. Step 4: Simplify right side
    14,770.50x = 190,916,530.34
  5. Step 5: Solve for x
    x = 190,916,530.34/14,770.50
  6. Step 6: Final answer
    x = 12,925.53

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1.5x scale

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.