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Finding the Fourth Proportional to 2,413, 3,329.94 and 1,309

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Solution

The fourth proportional to 2,413, 3,329.94 and 1,309 is: 1,806.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,413 : 3,329.94 = 1,309 : x
  2. Step 2: Convert to fraction form
    2,413/3,329.94 = 1,309/x
  3. Step 3: Cross multiply
    2,413x = 3,329.94 × 1,309
  4. Step 4: Simplify right side
    2,413x = 4,358,891.46
  5. Step 5: Solve for x
    x = 4,358,891.46/2,413
  6. Step 6: Final answer
    x = 1,806.42

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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.