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Finding the Fourth Proportional to 3,137.80, 4,713.90 and 3,015.40

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Solution

The fourth proportional to 3,137.80, 4,713.90 and 3,015.40 is: 4,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.80 : 4,713.90 = 3,015.40 : x
  2. Step 2: Convert to fraction form
    3,137.80/4,713.90 = 3,015.40/x
  3. Step 3: Cross multiply
    3,137.80x = 4,713.90 × 3,015.40
  4. Step 4: Simplify right side
    3,137.80x = 14,214,294.06
  5. Step 5: Solve for x
    x = 14,214,294.06/3,137.80
  6. Step 6: Final answer
    x = 4,530.02

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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.