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Finding the Fourth Proportional to 2,338.22, 3,225.38 and 1,510.22

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Solution

The fourth proportional to 2,338.22, 3,225.38 and 1,510.22 is: 2,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.22 : 3,225.38 = 1,510.22 : x
  2. Step 2: Convert to fraction form
    2,338.22/3,225.38 = 1,510.22/x
  3. Step 3: Cross multiply
    2,338.22x = 3,225.38 × 1,510.22
  4. Step 4: Simplify right side
    2,338.22x = 4,871,033.38
  5. Step 5: Solve for x
    x = 4,871,033.38/2,338.22
  6. Step 6: Final answer
    x = 2,083.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.