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Finding the Fourth Proportional to 9,688.62, 13,282.94 and 9,513.66

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Solution

The fourth proportional to 9,688.62, 13,282.94 and 9,513.66 is: 13,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.62 : 13,282.94 = 9,513.66 : x
  2. Step 2: Convert to fraction form
    9,688.62/13,282.94 = 9,513.66/x
  3. Step 3: Cross multiply
    9,688.62x = 13,282.94 × 9,513.66
  4. Step 4: Simplify right side
    9,688.62x = 126,369,327.39
  5. Step 5: Solve for x
    x = 126,369,327.39/9,688.62
  6. Step 6: Final answer
    x = 13,043.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.