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Finding the Fourth Proportional to 9,970.22, 13,746.13 and 8,171.08

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Solution

The fourth proportional to 9,970.22, 13,746.13 and 8,171.08 is: 11,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.22 : 13,746.13 = 8,171.08 : x
  2. Step 2: Convert to fraction form
    9,970.22/13,746.13 = 8,171.08/x
  3. Step 3: Cross multiply
    9,970.22x = 13,746.13 × 8,171.08
  4. Step 4: Simplify right side
    9,970.22x = 112,320,673.13
  5. Step 5: Solve for x
    x = 112,320,673.13/9,970.22
  6. Step 6: Final answer
    x = 11,265.61

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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.