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Finding the Fourth Proportional to 27,986.70, 41,980.77 and 9,266.70

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Solution

The fourth proportional to 27,986.70, 41,980.77 and 9,266.70 is: 13,900.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.70 : 41,980.77 = 9,266.70 : x
  2. Step 2: Convert to fraction form
    27,986.70/41,980.77 = 9,266.70/x
  3. Step 3: Cross multiply
    27,986.70x = 41,980.77 × 9,266.70
  4. Step 4: Simplify right side
    27,986.70x = 389,023,201.36
  5. Step 5: Solve for x
    x = 389,023,201.36/27,986.70
  6. Step 6: Final answer
    x = 13,900.29

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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.