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Finding the Fourth Proportional to 8,048.57, 12,077.64 and 3,431.57

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Solution

The fourth proportional to 8,048.57, 12,077.64 and 3,431.57 is: 5,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048.57 : 12,077.64 = 3,431.57 : x
  2. Step 2: Convert to fraction form
    8,048.57/12,077.64 = 3,431.57/x
  3. Step 3: Cross multiply
    8,048.57x = 12,077.64 × 3,431.57
  4. Step 4: Simplify right side
    8,048.57x = 41,445,206.71
  5. Step 5: Solve for x
    x = 41,445,206.71/8,048.57
  6. Step 6: Final answer
    x = 5,149.39

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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.