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Finding the Fourth Proportional to 1,831.22, 2,742.90 and 1,702.98

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Solution

The fourth proportional to 1,831.22, 2,742.90 and 1,702.98 is: 2,550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.22 : 2,742.90 = 1,702.98 : x
  2. Step 2: Convert to fraction form
    1,831.22/2,742.90 = 1,702.98/x
  3. Step 3: Cross multiply
    1,831.22x = 2,742.90 × 1,702.98
  4. Step 4: Simplify right side
    1,831.22x = 4,671,103.84
  5. Step 5: Solve for x
    x = 4,671,103.84/1,831.22
  6. Step 6: Final answer
    x = 2,550.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.