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Finding the Fourth Proportional to 1,820.71, 2,734.71 and 1,776.97

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Solution

The fourth proportional to 1,820.71, 2,734.71 and 1,776.97 is: 2,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.71 : 2,734.71 = 1,776.97 : x
  2. Step 2: Convert to fraction form
    1,820.71/2,734.71 = 1,776.97/x
  3. Step 3: Cross multiply
    1,820.71x = 2,734.71 × 1,776.97
  4. Step 4: Simplify right side
    1,820.71x = 4,859,497.63
  5. Step 5: Solve for x
    x = 4,859,497.63/1,820.71
  6. Step 6: Final answer
    x = 2,669.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.