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Finding the Fourth Proportional to 2,387.94, 3,295.38 and 1,340

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Solution

The fourth proportional to 2,387.94, 3,295.38 and 1,340 is: 1,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387.94 : 3,295.38 = 1,340 : x
  2. Step 2: Convert to fraction form
    2,387.94/3,295.38 = 1,340/x
  3. Step 3: Cross multiply
    2,387.94x = 3,295.38 × 1,340
  4. Step 4: Simplify right side
    2,387.94x = 4,415,809.20
  5. Step 5: Solve for x
    x = 4,415,809.20/2,387.94
  6. Step 6: Final answer
    x = 1,849.21

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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.