Home / 5,098.12-7,649.97-1,978.25

Finding the Fourth Proportional to 5,098.12, 7,649.97 and 1,978.25

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Solution

The fourth proportional to 5,098.12, 7,649.97 and 1,978.25 is: 2,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.12 : 7,649.97 = 1,978.25 : x
  2. Step 2: Convert to fraction form
    5,098.12/7,649.97 = 1,978.25/x
  3. Step 3: Cross multiply
    5,098.12x = 7,649.97 × 1,978.25
  4. Step 4: Simplify right side
    5,098.12x = 15,133,524.14
  5. Step 5: Solve for x
    x = 15,133,524.14/5,098.12
  6. Step 6: Final answer
    x = 2,968.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.