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Finding the Fourth Proportional to 1,602.73, 2,400.31 and 1,253.62

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Solution

The fourth proportional to 1,602.73, 2,400.31 and 1,253.62 is: 1,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.73 : 2,400.31 = 1,253.62 : x
  2. Step 2: Convert to fraction form
    1,602.73/2,400.31 = 1,253.62/x
  3. Step 3: Cross multiply
    1,602.73x = 2,400.31 × 1,253.62
  4. Step 4: Simplify right side
    1,602.73x = 3,009,076.62
  5. Step 5: Solve for x
    x = 3,009,076.62/1,602.73
  6. Step 6: Final answer
    x = 1,877.47

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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.