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Finding the Fourth Proportional to 2,218.37, 3,061.37 and 1,223.69

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Solution

The fourth proportional to 2,218.37, 3,061.37 and 1,223.69 is: 1,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.37 : 3,061.37 = 1,223.69 : x
  2. Step 2: Convert to fraction form
    2,218.37/3,061.37 = 1,223.69/x
  3. Step 3: Cross multiply
    2,218.37x = 3,061.37 × 1,223.69
  4. Step 4: Simplify right side
    2,218.37x = 3,746,146.43
  5. Step 5: Solve for x
    x = 3,746,146.43/2,218.37
  6. Step 6: Final answer
    x = 1,688.70

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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.