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Finding the Fourth Proportional to 2,758.48, 3,802.60 and 2,013.28

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Solution

The fourth proportional to 2,758.48, 3,802.60 and 2,013.28 is: 2,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.48 : 3,802.60 = 2,013.28 : x
  2. Step 2: Convert to fraction form
    2,758.48/3,802.60 = 2,013.28/x
  3. Step 3: Cross multiply
    2,758.48x = 3,802.60 × 2,013.28
  4. Step 4: Simplify right side
    2,758.48x = 7,655,698.53
  5. Step 5: Solve for x
    x = 7,655,698.53/2,758.48
  6. Step 6: Final answer
    x = 2,775.33

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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.