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Finding the Fourth Proportional to 9,906.40, 13,669.04 and 6,368.80

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Solution

The fourth proportional to 9,906.40, 13,669.04 and 6,368.80 is: 8,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.40 : 13,669.04 = 6,368.80 : x
  2. Step 2: Convert to fraction form
    9,906.40/13,669.04 = 6,368.80/x
  3. Step 3: Cross multiply
    9,906.40x = 13,669.04 × 6,368.80
  4. Step 4: Simplify right side
    9,906.40x = 87,055,381.95
  5. Step 5: Solve for x
    x = 87,055,381.95/9,906.40
  6. Step 6: Final answer
    x = 8,787.79

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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.