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Finding the Fourth Proportional to 5,266.15, 7,899.53 and 1,978.97

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Solution

The fourth proportional to 5,266.15, 7,899.53 and 1,978.97 is: 2,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.15 : 7,899.53 = 1,978.97 : x
  2. Step 2: Convert to fraction form
    5,266.15/7,899.53 = 1,978.97/x
  3. Step 3: Cross multiply
    5,266.15x = 7,899.53 × 1,978.97
  4. Step 4: Simplify right side
    5,266.15x = 15,632,883.49
  5. Step 5: Solve for x
    x = 15,632,883.49/5,266.15
  6. Step 6: Final answer
    x = 2,968.56

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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.