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Finding the Fourth Proportional to 9,011.97, 12,430.26 and 8,268.39

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Solution

The fourth proportional to 9,011.97, 12,430.26 and 8,268.39 is: 11,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,011.97 : 12,430.26 = 8,268.39 : x
  2. Step 2: Convert to fraction form
    9,011.97/12,430.26 = 8,268.39/x
  3. Step 3: Cross multiply
    9,011.97x = 12,430.26 × 8,268.39
  4. Step 4: Simplify right side
    9,011.97x = 102,778,237.48
  5. Step 5: Solve for x
    x = 102,778,237.48/9,011.97
  6. Step 6: Final answer
    x = 11,404.64

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Half scale
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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.