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Finding the Fourth Proportional to 8,947.79, 12,346.79 and 4,968.14

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Solution

The fourth proportional to 8,947.79, 12,346.79 and 4,968.14 is: 6,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.79 : 12,346.79 = 4,968.14 : x
  2. Step 2: Convert to fraction form
    8,947.79/12,346.79 = 4,968.14/x
  3. Step 3: Cross multiply
    8,947.79x = 12,346.79 × 4,968.14
  4. Step 4: Simplify right side
    8,947.79x = 61,340,494.70
  5. Step 5: Solve for x
    x = 61,340,494.70/8,947.79
  6. Step 6: Final answer
    x = 6,855.38

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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.