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Finding the Fourth Proportional to 12,912.40, 19,357.80 and 6,756.40

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Solution

The fourth proportional to 12,912.40, 19,357.80 and 6,756.40 is: 10,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,912.40 : 19,357.80 = 6,756.40 : x
  2. Step 2: Convert to fraction form
    12,912.40/19,357.80 = 6,756.40/x
  3. Step 3: Cross multiply
    12,912.40x = 19,357.80 × 6,756.40
  4. Step 4: Simplify right side
    12,912.40x = 130,789,039.92
  5. Step 5: Solve for x
    x = 130,789,039.92/12,912.40
  6. Step 6: Final answer
    x = 10,128.95

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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.