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Finding the Fourth Proportional to 2,648, 3,654.24 and 1,716.50

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Solution

The fourth proportional to 2,648, 3,654.24 and 1,716.50 is: 2,368.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648 : 3,654.24 = 1,716.50 : x
  2. Step 2: Convert to fraction form
    2,648/3,654.24 = 1,716.50/x
  3. Step 3: Cross multiply
    2,648x = 3,654.24 × 1,716.50
  4. Step 4: Simplify right side
    2,648x = 6,272,502.96
  5. Step 5: Solve for x
    x = 6,272,502.96/2,648
  6. Step 6: Final answer
    x = 2,368.77

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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.