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Finding the Fourth Proportional to 2,352.78, 3,242.35 and 1,688.47

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Solution

The fourth proportional to 2,352.78, 3,242.35 and 1,688.47 is: 2,326.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.78 : 3,242.35 = 1,688.47 : x
  2. Step 2: Convert to fraction form
    2,352.78/3,242.35 = 1,688.47/x
  3. Step 3: Cross multiply
    2,352.78x = 3,242.35 × 1,688.47
  4. Step 4: Simplify right side
    2,352.78x = 5,474,610.70
  5. Step 5: Solve for x
    x = 5,474,610.70/2,352.78
  6. Step 6: Final answer
    x = 2,326.87

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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.