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Finding the Fourth Proportional to 1,941.83, 2,912.78 and 710.15

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Solution

The fourth proportional to 1,941.83, 2,912.78 and 710.15 is: 1,065.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.83 : 2,912.78 = 710.15 : x
  2. Step 2: Convert to fraction form
    1,941.83/2,912.78 = 710.15/x
  3. Step 3: Cross multiply
    1,941.83x = 2,912.78 × 710.15
  4. Step 4: Simplify right side
    1,941.83x = 2,068,492.60
  5. Step 5: Solve for x
    x = 2,068,492.60/1,941.83
  6. Step 6: Final answer
    x = 1,065.23

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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.