Home / 1,086.74-1,503.66-947.15

Finding the Fourth Proportional to 1,086.74, 1,503.66 and 947.15

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Solution

The fourth proportional to 1,086.74, 1,503.66 and 947.15 is: 1,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.74 : 1,503.66 = 947.15 : x
  2. Step 2: Convert to fraction form
    1,086.74/1,503.66 = 947.15/x
  3. Step 3: Cross multiply
    1,086.74x = 1,503.66 × 947.15
  4. Step 4: Simplify right side
    1,086.74x = 1,424,188.30
  5. Step 5: Solve for x
    x = 1,424,188.30/1,086.74
  6. Step 6: Final answer
    x = 1,310.51

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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.