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Finding the Fourth Proportional to 8,340.16, 12,506.24 and 3,142.72

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Solution

The fourth proportional to 8,340.16, 12,506.24 and 3,142.72 is: 4,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.16 : 12,506.24 = 3,142.72 : x
  2. Step 2: Convert to fraction form
    8,340.16/12,506.24 = 3,142.72/x
  3. Step 3: Cross multiply
    8,340.16x = 12,506.24 × 3,142.72
  4. Step 4: Simplify right side
    8,340.16x = 39,303,610.57
  5. Step 5: Solve for x
    x = 39,303,610.57/8,340.16
  6. Step 6: Final answer
    x = 4,712.57

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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.