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Finding the Fourth Proportional to 3,068.68, 4,602.57 and 1,120.42

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Solution

The fourth proportional to 3,068.68, 4,602.57 and 1,120.42 is: 1,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.68 : 4,602.57 = 1,120.42 : x
  2. Step 2: Convert to fraction form
    3,068.68/4,602.57 = 1,120.42/x
  3. Step 3: Cross multiply
    3,068.68x = 4,602.57 × 1,120.42
  4. Step 4: Simplify right side
    3,068.68x = 5,156,811.48
  5. Step 5: Solve for x
    x = 5,156,811.48/3,068.68
  6. Step 6: Final answer
    x = 1,680.47

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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.