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Finding the Fourth Proportional to 1,752.78, 2,625.96 and 1,021.02

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Solution

The fourth proportional to 1,752.78, 2,625.96 and 1,021.02 is: 1,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.78 : 2,625.96 = 1,021.02 : x
  2. Step 2: Convert to fraction form
    1,752.78/2,625.96 = 1,021.02/x
  3. Step 3: Cross multiply
    1,752.78x = 2,625.96 × 1,021.02
  4. Step 4: Simplify right side
    1,752.78x = 2,681,157.68
  5. Step 5: Solve for x
    x = 2,681,157.68/1,752.78
  6. Step 6: Final answer
    x = 1,529.66

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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.