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Finding the Fourth Proportional to 3,137.60, 4,711.80 and 3,040.40

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Solution

The fourth proportional to 3,137.60, 4,711.80 and 3,040.40 is: 4,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.60 : 4,711.80 = 3,040.40 : x
  2. Step 2: Convert to fraction form
    3,137.60/4,711.80 = 3,040.40/x
  3. Step 3: Cross multiply
    3,137.60x = 4,711.80 × 3,040.40
  4. Step 4: Simplify right side
    3,137.60x = 14,325,756.72
  5. Step 5: Solve for x
    x = 14,325,756.72/3,137.60
  6. Step 6: Final answer
    x = 4,565.83

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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.