Home / 1,407.61-1,942.67-1,171.14

Finding the Fourth Proportional to 1,407.61, 1,942.67 and 1,171.14

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Solution

The fourth proportional to 1,407.61, 1,942.67 and 1,171.14 is: 1,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.61 : 1,942.67 = 1,171.14 : x
  2. Step 2: Convert to fraction form
    1,407.61/1,942.67 = 1,171.14/x
  3. Step 3: Cross multiply
    1,407.61x = 1,942.67 × 1,171.14
  4. Step 4: Simplify right side
    1,407.61x = 2,275,147.29
  5. Step 5: Solve for x
    x = 2,275,147.29/1,407.61
  6. Step 6: Final answer
    x = 1,616.32

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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.