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Finding the Fourth Proportional to 3,257.79, 4,886.94 and 917.98

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Solution

The fourth proportional to 3,257.79, 4,886.94 and 917.98 is: 1,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.79 : 4,886.94 = 917.98 : x
  2. Step 2: Convert to fraction form
    3,257.79/4,886.94 = 917.98/x
  3. Step 3: Cross multiply
    3,257.79x = 4,886.94 × 917.98
  4. Step 4: Simplify right side
    3,257.79x = 4,486,113.18
  5. Step 5: Solve for x
    x = 4,486,113.18/3,257.79
  6. Step 6: Final answer
    x = 1,377.04

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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.