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Finding the Fourth Proportional to 2,502.78, 3,453.78 and 1,455.42

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Solution

The fourth proportional to 2,502.78, 3,453.78 and 1,455.42 is: 2,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.78 : 3,453.78 = 1,455.42 : x
  2. Step 2: Convert to fraction form
    2,502.78/3,453.78 = 1,455.42/x
  3. Step 3: Cross multiply
    2,502.78x = 3,453.78 × 1,455.42
  4. Step 4: Simplify right side
    2,502.78x = 5,026,700.49
  5. Step 5: Solve for x
    x = 5,026,700.49/2,502.78
  6. Step 6: Final answer
    x = 2,008.45

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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.