Home / 5,205-7,180.86-2,966.46

Finding the Fourth Proportional to 5,205, 7,180.86 and 2,966.46

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Solution

The fourth proportional to 5,205, 7,180.86 and 2,966.46 is: 4,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205 : 7,180.86 = 2,966.46 : x
  2. Step 2: Convert to fraction form
    5,205/7,180.86 = 2,966.46/x
  3. Step 3: Cross multiply
    5,205x = 7,180.86 × 2,966.46
  4. Step 4: Simplify right side
    5,205x = 21,301,733.96
  5. Step 5: Solve for x
    x = 21,301,733.96/5,205
  6. Step 6: Final answer
    x = 4,092.55

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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.