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Finding the Fourth Proportional to 1,752.75, 2,615.54 and 1,519.47

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Solution

The fourth proportional to 1,752.75, 2,615.54 and 1,519.47 is: 2,267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.75 : 2,615.54 = 1,519.47 : x
  2. Step 2: Convert to fraction form
    1,752.75/2,615.54 = 1,519.47/x
  3. Step 3: Cross multiply
    1,752.75x = 2,615.54 × 1,519.47
  4. Step 4: Simplify right side
    1,752.75x = 3,974,226.97
  5. Step 5: Solve for x
    x = 3,974,226.97/1,752.75
  6. Step 6: Final answer
    x = 2,267.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.