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Finding the Fourth Proportional to 9,699.96, 13,375.35 and 6,550.68

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Solution

The fourth proportional to 9,699.96, 13,375.35 and 6,550.68 is: 9,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.96 : 13,375.35 = 6,550.68 : x
  2. Step 2: Convert to fraction form
    9,699.96/13,375.35 = 6,550.68/x
  3. Step 3: Cross multiply
    9,699.96x = 13,375.35 × 6,550.68
  4. Step 4: Simplify right side
    9,699.96x = 87,617,637.74
  5. Step 5: Solve for x
    x = 87,617,637.74/9,699.96
  6. Step 6: Final answer
    x = 9,032.78

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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.