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Finding the Fourth Proportional to 2,752.74, 4,130.19 and 1,828.26

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Solution

The fourth proportional to 2,752.74, 4,130.19 and 1,828.26 is: 2,743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.74 : 4,130.19 = 1,828.26 : x
  2. Step 2: Convert to fraction form
    2,752.74/4,130.19 = 1,828.26/x
  3. Step 3: Cross multiply
    2,752.74x = 4,130.19 × 1,828.26
  4. Step 4: Simplify right side
    2,752.74x = 7,551,061.17
  5. Step 5: Solve for x
    x = 7,551,061.17/2,752.74
  6. Step 6: Final answer
    x = 2,743.11

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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.