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Finding the Fourth Proportional to 1,200.10, 1,651.98 and 1,034.86

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Solution

The fourth proportional to 1,200.10, 1,651.98 and 1,034.86 is: 1,424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.10 : 1,651.98 = 1,034.86 : x
  2. Step 2: Convert to fraction form
    1,200.10/1,651.98 = 1,034.86/x
  3. Step 3: Cross multiply
    1,200.10x = 1,651.98 × 1,034.86
  4. Step 4: Simplify right side
    1,200.10x = 1,709,568.02
  5. Step 5: Solve for x
    x = 1,709,568.02/1,200.10
  6. Step 6: Final answer
    x = 1,424.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.