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Finding the Fourth Proportional to 2,577.79, 3,867.38 and 934.59

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Solution

The fourth proportional to 2,577.79, 3,867.38 and 934.59 is: 1,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.79 : 3,867.38 = 934.59 : x
  2. Step 2: Convert to fraction form
    2,577.79/3,867.38 = 934.59/x
  3. Step 3: Cross multiply
    2,577.79x = 3,867.38 × 934.59
  4. Step 4: Simplify right side
    2,577.79x = 3,614,406.25
  5. Step 5: Solve for x
    x = 3,614,406.25/2,577.79
  6. Step 6: Final answer
    x = 1,402.13

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