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Finding the Fourth Proportional to 26,630, 39,945.84 and 9,986

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Solution

The fourth proportional to 26,630, 39,945.84 and 9,986 is: 14,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,630 : 39,945.84 = 9,986 : x
  2. Step 2: Convert to fraction form
    26,630/39,945.84 = 9,986/x
  3. Step 3: Cross multiply
    26,630x = 39,945.84 × 9,986
  4. Step 4: Simplify right side
    26,630x = 398,899,158.24
  5. Step 5: Solve for x
    x = 398,899,158.24/26,630
  6. Step 6: Final answer
    x = 14,979.31

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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.