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Finding the Fourth Proportional to 27,986.40, 41,978.70 and 9,267.30

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Solution

The fourth proportional to 27,986.40, 41,978.70 and 9,267.30 is: 13,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.40 : 41,978.70 = 9,267.30 : x
  2. Step 2: Convert to fraction form
    27,986.40/41,978.70 = 9,267.30/x
  3. Step 3: Cross multiply
    27,986.40x = 41,978.70 × 9,267.30
  4. Step 4: Simplify right side
    27,986.40x = 389,029,206.51
  5. Step 5: Solve for x
    x = 389,029,206.51/27,986.40
  6. Step 6: Final answer
    x = 13,900.65

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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.