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Finding the Fourth Proportional to 2,696.83, 4,045.43 and 917.17

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Solution

The fourth proportional to 2,696.83, 4,045.43 and 917.17 is: 1,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.83 : 4,045.43 = 917.17 : x
  2. Step 2: Convert to fraction form
    2,696.83/4,045.43 = 917.17/x
  3. Step 3: Cross multiply
    2,696.83x = 4,045.43 × 917.17
  4. Step 4: Simplify right side
    2,696.83x = 3,710,326.81
  5. Step 5: Solve for x
    x = 3,710,326.81/2,696.83
  6. Step 6: Final answer
    x = 1,375.81

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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.