Home / 1,962.33-2,706.81-1,165.11

Finding the Fourth Proportional to 1,962.33, 2,706.81 and 1,165.11

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Solution

The fourth proportional to 1,962.33, 2,706.81 and 1,165.11 is: 1,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.33 : 2,706.81 = 1,165.11 : x
  2. Step 2: Convert to fraction form
    1,962.33/2,706.81 = 1,165.11/x
  3. Step 3: Cross multiply
    1,962.33x = 2,706.81 × 1,165.11
  4. Step 4: Simplify right side
    1,962.33x = 3,153,732.86
  5. Step 5: Solve for x
    x = 3,153,732.86/1,962.33
  6. Step 6: Final answer
    x = 1,607.14

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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.