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Finding the Fourth Proportional to 2,402.73, 3,314.99 and 1,340.32

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Solution

The fourth proportional to 2,402.73, 3,314.99 and 1,340.32 is: 1,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.73 : 3,314.99 = 1,340.32 : x
  2. Step 2: Convert to fraction form
    2,402.73/3,314.99 = 1,340.32/x
  3. Step 3: Cross multiply
    2,402.73x = 3,314.99 × 1,340.32
  4. Step 4: Simplify right side
    2,402.73x = 4,443,156.08
  5. Step 5: Solve for x
    x = 4,443,156.08/2,402.73
  6. Step 6: Final answer
    x = 1,849.21

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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.