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Finding the Fourth Proportional to 9,708.68, 13,383.84 and 6,867.20

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Solution

The fourth proportional to 9,708.68, 13,383.84 and 6,867.20 is: 9,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.68 : 13,383.84 = 6,867.20 : x
  2. Step 2: Convert to fraction form
    9,708.68/13,383.84 = 6,867.20/x
  3. Step 3: Cross multiply
    9,708.68x = 13,383.84 × 6,867.20
  4. Step 4: Simplify right side
    9,708.68x = 91,909,506.05
  5. Step 5: Solve for x
    x = 91,909,506.05/9,708.68
  6. Step 6: Final answer
    x = 9,466.74

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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.