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Finding the Fourth Proportional to 9,809.82, 13,356.44 and 9,778.68

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Solution

The fourth proportional to 9,809.82, 13,356.44 and 9,778.68 is: 13,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.82 : 13,356.44 = 9,778.68 : x
  2. Step 2: Convert to fraction form
    9,809.82/13,356.44 = 9,778.68/x
  3. Step 3: Cross multiply
    9,809.82x = 13,356.44 × 9,778.68
  4. Step 4: Simplify right side
    9,809.82x = 130,608,451.83
  5. Step 5: Solve for x
    x = 130,608,451.83/9,809.82
  6. Step 6: Final answer
    x = 13,314.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.