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Finding the Fourth Proportional to 2,340.53, 3,510.79 and 609.16

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Solution

The fourth proportional to 2,340.53, 3,510.79 and 609.16 is: 913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.53 : 3,510.79 = 609.16 : x
  2. Step 2: Convert to fraction form
    2,340.53/3,510.79 = 609.16/x
  3. Step 3: Cross multiply
    2,340.53x = 3,510.79 × 609.16
  4. Step 4: Simplify right side
    2,340.53x = 2,138,622.54
  5. Step 5: Solve for x
    x = 2,138,622.54/2,340.53
  6. Step 6: Final answer
    x = 913.73

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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.