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Finding the Fourth Proportional to 2,752.78, 4,129.98 and 1,021

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Solution

The fourth proportional to 2,752.78, 4,129.98 and 1,021 is: 1,531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.78 : 4,129.98 = 1,021 : x
  2. Step 2: Convert to fraction form
    2,752.78/4,129.98 = 1,021/x
  3. Step 3: Cross multiply
    2,752.78x = 4,129.98 × 1,021
  4. Step 4: Simplify right side
    2,752.78x = 4,216,709.58
  5. Step 5: Solve for x
    x = 4,216,709.58/2,752.78
  6. Step 6: Final answer
    x = 1,531.80

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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.