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Finding the Fourth Proportional to 22,000.50, 33,000.75 and 9,688.50

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Solution

The fourth proportional to 22,000.50, 33,000.75 and 9,688.50 is: 14,532.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,000.50 : 33,000.75 = 9,688.50 : x
  2. Step 2: Convert to fraction form
    22,000.50/33,000.75 = 9,688.50/x
  3. Step 3: Cross multiply
    22,000.50x = 33,000.75 × 9,688.50
  4. Step 4: Simplify right side
    22,000.50x = 319,727,766.38
  5. Step 5: Solve for x
    x = 319,727,766.38/22,000.50
  6. Step 6: Final answer
    x = 14,532.75

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Double scale
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Similar ratio
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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.