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Finding the Fourth Proportional to 12,372.56, 17,077.32 and 8,400.32

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Solution

The fourth proportional to 12,372.56, 17,077.32 and 8,400.32 is: 11,594.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.56 : 17,077.32 = 8,400.32 : x
  2. Step 2: Convert to fraction form
    12,372.56/17,077.32 = 8,400.32/x
  3. Step 3: Cross multiply
    12,372.56x = 17,077.32 × 8,400.32
  4. Step 4: Simplify right side
    12,372.56x = 143,454,952.74
  5. Step 5: Solve for x
    x = 143,454,952.74/12,372.56
  6. Step 6: Final answer
    x = 11,594.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.