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Finding the Fourth Proportional to 2,798.88, 4,201.56 and 1,502.88

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Solution

The fourth proportional to 2,798.88, 4,201.56 and 1,502.88 is: 2,256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.88 : 4,201.56 = 1,502.88 : x
  2. Step 2: Convert to fraction form
    2,798.88/4,201.56 = 1,502.88/x
  3. Step 3: Cross multiply
    2,798.88x = 4,201.56 × 1,502.88
  4. Step 4: Simplify right side
    2,798.88x = 6,314,440.49
  5. Step 5: Solve for x
    x = 6,314,440.49/2,798.88
  6. Step 6: Final answer
    x = 2,256.06

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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.