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Finding the Fourth Proportional to 10,603.40, 15,905.28 and 3,207.94

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Solution

The fourth proportional to 10,603.40, 15,905.28 and 3,207.94 is: 4,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.40 : 15,905.28 = 3,207.94 : x
  2. Step 2: Convert to fraction form
    10,603.40/15,905.28 = 3,207.94/x
  3. Step 3: Cross multiply
    10,603.40x = 15,905.28 × 3,207.94
  4. Step 4: Simplify right side
    10,603.40x = 51,023,183.92
  5. Step 5: Solve for x
    x = 51,023,183.92/10,603.40
  6. Step 6: Final answer
    x = 4,811.96

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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.