Home / 1,195.28-1,649.86-947.69

Finding the Fourth Proportional to 1,195.28, 1,649.86 and 947.69

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Solution

The fourth proportional to 1,195.28, 1,649.86 and 947.69 is: 1,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.28 : 1,649.86 = 947.69 : x
  2. Step 2: Convert to fraction form
    1,195.28/1,649.86 = 947.69/x
  3. Step 3: Cross multiply
    1,195.28x = 1,649.86 × 947.69
  4. Step 4: Simplify right side
    1,195.28x = 1,563,545.20
  5. Step 5: Solve for x
    x = 1,563,545.20/1,195.28
  6. Step 6: Final answer
    x = 1,308.11

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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.