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Finding the Fourth Proportional to 2,340.18, 3,509.91 and 801.18

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Solution

The fourth proportional to 2,340.18, 3,509.91 and 801.18 is: 1,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.18 : 3,509.91 = 801.18 : x
  2. Step 2: Convert to fraction form
    2,340.18/3,509.91 = 801.18/x
  3. Step 3: Cross multiply
    2,340.18x = 3,509.91 × 801.18
  4. Step 4: Simplify right side
    2,340.18x = 2,812,069.69
  5. Step 5: Solve for x
    x = 2,812,069.69/2,340.18
  6. Step 6: Final answer
    x = 1,201.65

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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.