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Finding the Fourth Proportional to 2,386, 3,292.68 and 1,338.40

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Solution

The fourth proportional to 2,386, 3,292.68 and 1,338.40 is: 1,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386 : 3,292.68 = 1,338.40 : x
  2. Step 2: Convert to fraction form
    2,386/3,292.68 = 1,338.40/x
  3. Step 3: Cross multiply
    2,386x = 3,292.68 × 1,338.40
  4. Step 4: Simplify right side
    2,386x = 4,406,922.91
  5. Step 5: Solve for x
    x = 4,406,922.91/2,386
  6. Step 6: Final answer
    x = 1,846.99

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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.