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Finding the Fourth Proportional to 6,371.40, 9,557.42 and 3,408.64

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Solution

The fourth proportional to 6,371.40, 9,557.42 and 3,408.64 is: 5,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.40 : 9,557.42 = 3,408.64 : x
  2. Step 2: Convert to fraction form
    6,371.40/9,557.42 = 3,408.64/x
  3. Step 3: Cross multiply
    6,371.40x = 9,557.42 × 3,408.64
  4. Step 4: Simplify right side
    6,371.40x = 32,577,804.11
  5. Step 5: Solve for x
    x = 32,577,804.11/6,371.40
  6. Step 6: Final answer
    x = 5,113.13

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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.