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Finding the Fourth Proportional to 2,349, 3,241.80 and 1,417.68

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Solution

The fourth proportional to 2,349, 3,241.80 and 1,417.68 is: 1,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349 : 3,241.80 = 1,417.68 : x
  2. Step 2: Convert to fraction form
    2,349/3,241.80 = 1,417.68/x
  3. Step 3: Cross multiply
    2,349x = 3,241.80 × 1,417.68
  4. Step 4: Simplify right side
    2,349x = 4,595,835.02
  5. Step 5: Solve for x
    x = 4,595,835.02/2,349
  6. Step 6: Final answer
    x = 1,956.51

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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.