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Finding the Fourth Proportional to 3,426.02, 5,139 and 2,647.14

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Solution

The fourth proportional to 3,426.02, 5,139 and 2,647.14 is: 3,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.02 : 5,139 = 2,647.14 : x
  2. Step 2: Convert to fraction form
    3,426.02/5,139 = 2,647.14/x
  3. Step 3: Cross multiply
    3,426.02x = 5,139 × 2,647.14
  4. Step 4: Simplify right side
    3,426.02x = 13,603,652.46
  5. Step 5: Solve for x
    x = 13,603,652.46/3,426.02
  6. Step 6: Final answer
    x = 3,970.69

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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.