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Finding the Fourth Proportional to 2,577.40, 3,866.38 and 821.99

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Solution

The fourth proportional to 2,577.40, 3,866.38 and 821.99 is: 1,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.40 : 3,866.38 = 821.99 : x
  2. Step 2: Convert to fraction form
    2,577.40/3,866.38 = 821.99/x
  3. Step 3: Cross multiply
    2,577.40x = 3,866.38 × 821.99
  4. Step 4: Simplify right side
    2,577.40x = 3,178,133.31
  5. Step 5: Solve for x
    x = 3,178,133.31/2,577.40
  6. Step 6: Final answer
    x = 1,233.08

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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.