Home / 1,106.97-1,527.35-811.72

Finding the Fourth Proportional to 1,106.97, 1,527.35 and 811.72

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Solution

The fourth proportional to 1,106.97, 1,527.35 and 811.72 is: 1,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.97 : 1,527.35 = 811.72 : x
  2. Step 2: Convert to fraction form
    1,106.97/1,527.35 = 811.72/x
  3. Step 3: Cross multiply
    1,106.97x = 1,527.35 × 811.72
  4. Step 4: Simplify right side
    1,106.97x = 1,239,780.54
  5. Step 5: Solve for x
    x = 1,239,780.54/1,106.97
  6. Step 6: Final answer
    x = 1,119.98

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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.