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Finding the Fourth Proportional to 11,000.40, 16,502.10 and 3,978.70

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Solution

The fourth proportional to 11,000.40, 16,502.10 and 3,978.70 is: 5,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.40 : 16,502.10 = 3,978.70 : x
  2. Step 2: Convert to fraction form
    11,000.40/16,502.10 = 3,978.70/x
  3. Step 3: Cross multiply
    11,000.40x = 16,502.10 × 3,978.70
  4. Step 4: Simplify right side
    11,000.40x = 65,656,905.27
  5. Step 5: Solve for x
    x = 65,656,905.27/11,000.40
  6. Step 6: Final answer
    x = 5,968.59

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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.