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Finding the Fourth Proportional to 2,068.18, 3,102.63 and 914.02

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Solution

The fourth proportional to 2,068.18, 3,102.63 and 914.02 is: 1,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068.18 : 3,102.63 = 914.02 : x
  2. Step 2: Convert to fraction form
    2,068.18/3,102.63 = 914.02/x
  3. Step 3: Cross multiply
    2,068.18x = 3,102.63 × 914.02
  4. Step 4: Simplify right side
    2,068.18x = 2,835,865.87
  5. Step 5: Solve for x
    x = 2,835,865.87/2,068.18
  6. Step 6: Final answer
    x = 1,371.19

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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.