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Finding the Fourth Proportional to 1,326.87, 1,831.86 and 830.16

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Solution

The fourth proportional to 1,326.87, 1,831.86 and 830.16 is: 1,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.87 : 1,831.86 = 830.16 : x
  2. Step 2: Convert to fraction form
    1,326.87/1,831.86 = 830.16/x
  3. Step 3: Cross multiply
    1,326.87x = 1,831.86 × 830.16
  4. Step 4: Simplify right side
    1,326.87x = 1,520,736.90
  5. Step 5: Solve for x
    x = 1,520,736.90/1,326.87
  6. Step 6: Final answer
    x = 1,146.11

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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.