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Finding the Fourth Proportional to 12,240, 16,883.52 and 9,761.92

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Solution

The fourth proportional to 12,240, 16,883.52 and 9,761.92 is: 13,465.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,240 : 16,883.52 = 9,761.92 : x
  2. Step 2: Convert to fraction form
    12,240/16,883.52 = 9,761.92/x
  3. Step 3: Cross multiply
    12,240x = 16,883.52 × 9,761.92
  4. Step 4: Simplify right side
    12,240x = 164,815,571.56
  5. Step 5: Solve for x
    x = 164,815,571.56/12,240
  6. Step 6: Final answer
    x = 13,465.32

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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.