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Finding the Fourth Proportional to 2,691.39, 3,709.89 and 2,465.40

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Solution

The fourth proportional to 2,691.39, 3,709.89 and 2,465.40 is: 3,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.39 : 3,709.89 = 2,465.40 : x
  2. Step 2: Convert to fraction form
    2,691.39/3,709.89 = 2,465.40/x
  3. Step 3: Cross multiply
    2,691.39x = 3,709.89 × 2,465.40
  4. Step 4: Simplify right side
    2,691.39x = 9,146,362.81
  5. Step 5: Solve for x
    x = 9,146,362.81/2,691.39
  6. Step 6: Final answer
    x = 3,398.38

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1.5x scale

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.