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Finding the Fourth Proportional to 2,402.51, 3,315.51 and 1,340.30

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Solution

The fourth proportional to 2,402.51, 3,315.51 and 1,340.30 is: 1,849.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.51 : 3,315.51 = 1,340.30 : x
  2. Step 2: Convert to fraction form
    2,402.51/3,315.51 = 1,340.30/x
  3. Step 3: Cross multiply
    2,402.51x = 3,315.51 × 1,340.30
  4. Step 4: Simplify right side
    2,402.51x = 4,443,763.92
  5. Step 5: Solve for x
    x = 4,443,763.92/2,402.51
  6. Step 6: Final answer
    x = 1,849.63

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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.