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Finding the Fourth Proportional to 10,408, 15,614.40 and 3,482.56

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Solution

The fourth proportional to 10,408, 15,614.40 and 3,482.56 is: 5,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408 : 15,614.40 = 3,482.56 : x
  2. Step 2: Convert to fraction form
    10,408/15,614.40 = 3,482.56/x
  3. Step 3: Cross multiply
    10,408x = 15,614.40 × 3,482.56
  4. Step 4: Simplify right side
    10,408x = 54,378,084.86
  5. Step 5: Solve for x
    x = 54,378,084.86/10,408
  6. Step 6: Final answer
    x = 5,224.64

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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.