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Finding the Fourth Proportional to 9,976.64, 13,752.65 and 8,205.17

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Solution

The fourth proportional to 9,976.64, 13,752.65 and 8,205.17 is: 11,310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.64 : 13,752.65 = 8,205.17 : x
  2. Step 2: Convert to fraction form
    9,976.64/13,752.65 = 8,205.17/x
  3. Step 3: Cross multiply
    9,976.64x = 13,752.65 × 8,205.17
  4. Step 4: Simplify right side
    9,976.64x = 112,842,782.95
  5. Step 5: Solve for x
    x = 112,842,782.95/9,976.64
  6. Step 6: Final answer
    x = 11,310.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.