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Finding the Fourth Proportional to 12,798.84, 19,188.53 and 6,947.40

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Solution

The fourth proportional to 12,798.84, 19,188.53 and 6,947.40 is: 10,415.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.84 : 19,188.53 = 6,947.40 : x
  2. Step 2: Convert to fraction form
    12,798.84/19,188.53 = 6,947.40/x
  3. Step 3: Cross multiply
    12,798.84x = 19,188.53 × 6,947.40
  4. Step 4: Simplify right side
    12,798.84x = 133,310,456.59
  5. Step 5: Solve for x
    x = 133,310,456.59/12,798.84
  6. Step 6: Final answer
    x = 10,415.82

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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.