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Finding the Fourth Proportional to 10,868.70, 16,308.84 and 4,294.98

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Solution

The fourth proportional to 10,868.70, 16,308.84 and 4,294.98 is: 6,444.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,868.70 : 16,308.84 = 4,294.98 : x
  2. Step 2: Convert to fraction form
    10,868.70/16,308.84 = 4,294.98/x
  3. Step 3: Cross multiply
    10,868.70x = 16,308.84 × 4,294.98
  4. Step 4: Simplify right side
    10,868.70x = 70,046,141.62
  5. Step 5: Solve for x
    x = 70,046,141.62/10,868.70
  6. Step 6: Final answer
    x = 6,444.76

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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.