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Finding the Fourth Proportional to 10,378, 15,563.12 and 3,355.84

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Solution

The fourth proportional to 10,378, 15,563.12 and 3,355.84 is: 5,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378 : 15,563.12 = 3,355.84 : x
  2. Step 2: Convert to fraction form
    10,378/15,563.12 = 3,355.84/x
  3. Step 3: Cross multiply
    10,378x = 15,563.12 × 3,355.84
  4. Step 4: Simplify right side
    10,378x = 52,227,340.62
  5. Step 5: Solve for x
    x = 52,227,340.62/10,378
  6. Step 6: Final answer
    x = 5,032.51

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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.