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Finding the Fourth Proportional to 11,616.96, 17,390.88 and 6,985.92

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Solution

The fourth proportional to 11,616.96, 17,390.88 and 6,985.92 is: 10,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.96 : 17,390.88 = 6,985.92 : x
  2. Step 2: Convert to fraction form
    11,616.96/17,390.88 = 6,985.92/x
  3. Step 3: Cross multiply
    11,616.96x = 17,390.88 × 6,985.92
  4. Step 4: Simplify right side
    11,616.96x = 121,491,296.41
  5. Step 5: Solve for x
    x = 121,491,296.41/11,616.96
  6. Step 6: Final answer
    x = 10,458.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.