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Finding the Fourth Proportional to 36,206.52, 54,309.48 and 9,911.20

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Solution

The fourth proportional to 36,206.52, 54,309.48 and 9,911.20 is: 14,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,206.52 : 54,309.48 = 9,911.20 : x
  2. Step 2: Convert to fraction form
    36,206.52/54,309.48 = 9,911.20/x
  3. Step 3: Cross multiply
    36,206.52x = 54,309.48 × 9,911.20
  4. Step 4: Simplify right side
    36,206.52x = 538,272,118.18
  5. Step 5: Solve for x
    x = 538,272,118.18/36,206.52
  6. Step 6: Final answer
    x = 14,866.72

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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.