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Finding the Fourth Proportional to 2,866.22, 4,298.70 and 917.90

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Solution

The fourth proportional to 2,866.22, 4,298.70 and 917.90 is: 1,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.22 : 4,298.70 = 917.90 : x
  2. Step 2: Convert to fraction form
    2,866.22/4,298.70 = 917.90/x
  3. Step 3: Cross multiply
    2,866.22x = 4,298.70 × 917.90
  4. Step 4: Simplify right side
    2,866.22x = 3,945,776.73
  5. Step 5: Solve for x
    x = 3,945,776.73/2,866.22
  6. Step 6: Final answer
    x = 1,376.65

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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.