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Finding the Fourth Proportional to 9,630.96, 13,284.96 and 6,646.68

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Solution

The fourth proportional to 9,630.96, 13,284.96 and 6,646.68 is: 9,168.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.96 : 13,284.96 = 6,646.68 : x
  2. Step 2: Convert to fraction form
    9,630.96/13,284.96 = 6,646.68/x
  3. Step 3: Cross multiply
    9,630.96x = 13,284.96 × 6,646.68
  4. Step 4: Simplify right side
    9,630.96x = 88,300,877.93
  5. Step 5: Solve for x
    x = 88,300,877.93/9,630.96
  6. Step 6: Final answer
    x = 9,168.44

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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.