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Finding the Fourth Proportional to 10,276.40, 15,408.12 and 6,375.44

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Solution

The fourth proportional to 10,276.40, 15,408.12 and 6,375.44 is: 9,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,276.40 : 15,408.12 = 6,375.44 : x
  2. Step 2: Convert to fraction form
    10,276.40/15,408.12 = 6,375.44/x
  3. Step 3: Cross multiply
    10,276.40x = 15,408.12 × 6,375.44
  4. Step 4: Simplify right side
    10,276.40x = 98,233,544.57
  5. Step 5: Solve for x
    x = 98,233,544.57/10,276.40
  6. Step 6: Final answer
    x = 9,559.14

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1.5x scale

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.