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Finding the Fourth Proportional to 2,340.54, 3,510.78 and 609

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Solution

The fourth proportional to 2,340.54, 3,510.78 and 609 is: 913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.54 : 3,510.78 = 609 : x
  2. Step 2: Convert to fraction form
    2,340.54/3,510.78 = 609/x
  3. Step 3: Cross multiply
    2,340.54x = 3,510.78 × 609
  4. Step 4: Simplify right side
    2,340.54x = 2,138,065.02
  5. Step 5: Solve for x
    x = 2,138,065.02/2,340.54
  6. Step 6: Final answer
    x = 913.49

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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.