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Finding the Fourth Proportional to 8,640.96, 12,974.40 and 4,947.36

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Solution

The fourth proportional to 8,640.96, 12,974.40 and 4,947.36 is: 7,428.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.96 : 12,974.40 = 4,947.36 : x
  2. Step 2: Convert to fraction form
    8,640.96/12,974.40 = 4,947.36/x
  3. Step 3: Cross multiply
    8,640.96x = 12,974.40 × 4,947.36
  4. Step 4: Simplify right side
    8,640.96x = 64,189,027.58
  5. Step 5: Solve for x
    x = 64,189,027.58/8,640.96
  6. Step 6: Final answer
    x = 7,428.46

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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.