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Finding the Fourth Proportional to 12,994.40, 19,480.80 and 6,838.40

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Solution

The fourth proportional to 12,994.40, 19,480.80 and 6,838.40 is: 10,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.40 : 19,480.80 = 6,838.40 : x
  2. Step 2: Convert to fraction form
    12,994.40/19,480.80 = 6,838.40/x
  3. Step 3: Cross multiply
    12,994.40x = 19,480.80 × 6,838.40
  4. Step 4: Simplify right side
    12,994.40x = 133,217,502.72
  5. Step 5: Solve for x
    x = 133,217,502.72/12,994.40
  6. Step 6: Final answer
    x = 10,251.92

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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.