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Finding the Fourth Proportional to 9,409.40, 14,138.40 and 8,340.20

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Solution

The fourth proportional to 9,409.40, 14,138.40 and 8,340.20 is: 12,531.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.40 : 14,138.40 = 8,340.20 : x
  2. Step 2: Convert to fraction form
    9,409.40/14,138.40 = 8,340.20/x
  3. Step 3: Cross multiply
    9,409.40x = 14,138.40 × 8,340.20
  4. Step 4: Simplify right side
    9,409.40x = 117,917,083.68
  5. Step 5: Solve for x
    x = 117,917,083.68/9,409.40
  6. Step 6: Final answer
    x = 12,531.84

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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.