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Finding the Fourth Proportional to 2,751.36, 3,798 and 2,051.52

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Solution

The fourth proportional to 2,751.36, 3,798 and 2,051.52 is: 2,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.36 : 3,798 = 2,051.52 : x
  2. Step 2: Convert to fraction form
    2,751.36/3,798 = 2,051.52/x
  3. Step 3: Cross multiply
    2,751.36x = 3,798 × 2,051.52
  4. Step 4: Simplify right side
    2,751.36x = 7,791,672.96
  5. Step 5: Solve for x
    x = 7,791,672.96/2,751.36
  6. Step 6: Final answer
    x = 2,831.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.