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Finding the Fourth Proportional to 20,694.40, 31,045.02 and 8,214.50

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Solution

The fourth proportional to 20,694.40, 31,045.02 and 8,214.50 is: 12,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.40 : 31,045.02 = 8,214.50 : x
  2. Step 2: Convert to fraction form
    20,694.40/31,045.02 = 8,214.50/x
  3. Step 3: Cross multiply
    20,694.40x = 31,045.02 × 8,214.50
  4. Step 4: Simplify right side
    20,694.40x = 255,019,316.79
  5. Step 5: Solve for x
    x = 255,019,316.79/20,694.40
  6. Step 6: Final answer
    x = 12,323.11

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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.