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Finding the Fourth Proportional to 2,052.66, 2,831.66 and 1,296.11

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Solution

The fourth proportional to 2,052.66, 2,831.66 and 1,296.11 is: 1,787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.66 : 2,831.66 = 1,296.11 : x
  2. Step 2: Convert to fraction form
    2,052.66/2,831.66 = 1,296.11/x
  3. Step 3: Cross multiply
    2,052.66x = 2,831.66 × 1,296.11
  4. Step 4: Simplify right side
    2,052.66x = 3,670,122.20
  5. Step 5: Solve for x
    x = 3,670,122.20/2,052.66
  6. Step 6: Final answer
    x = 1,787.98

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Why These Related Problems?

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