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Finding the Fourth Proportional to 2,242.46, 3,095 and 1,298.11

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Solution

The fourth proportional to 2,242.46, 3,095 and 1,298.11 is: 1,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.46 : 3,095 = 1,298.11 : x
  2. Step 2: Convert to fraction form
    2,242.46/3,095 = 1,298.11/x
  3. Step 3: Cross multiply
    2,242.46x = 3,095 × 1,298.11
  4. Step 4: Simplify right side
    2,242.46x = 4,017,650.45
  5. Step 5: Solve for x
    x = 4,017,650.45/2,242.46
  6. Step 6: Final answer
    x = 1,791.63

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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.