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Finding the Fourth Proportional to 2,670.82, 4,006.29 and 917.84

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Solution

The fourth proportional to 2,670.82, 4,006.29 and 917.84 is: 1,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.82 : 4,006.29 = 917.84 : x
  2. Step 2: Convert to fraction form
    2,670.82/4,006.29 = 917.84/x
  3. Step 3: Cross multiply
    2,670.82x = 4,006.29 × 917.84
  4. Step 4: Simplify right side
    2,670.82x = 3,677,127.66
  5. Step 5: Solve for x
    x = 3,677,127.66/2,670.82
  6. Step 6: Final answer
    x = 1,376.78

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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.