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Finding the Fourth Proportional to 2,510.75, 3,464.74 and 1,391.74

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Solution

The fourth proportional to 2,510.75, 3,464.74 and 1,391.74 is: 1,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.75 : 3,464.74 = 1,391.74 : x
  2. Step 2: Convert to fraction form
    2,510.75/3,464.74 = 1,391.74/x
  3. Step 3: Cross multiply
    2,510.75x = 3,464.74 × 1,391.74
  4. Step 4: Simplify right side
    2,510.75x = 4,822,017.25
  5. Step 5: Solve for x
    x = 4,822,017.25/2,510.75
  6. Step 6: Final answer
    x = 1,920.55

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