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Finding the Fourth Proportional to 10,990, 16,468.44 and 6,602.64

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Solution

The fourth proportional to 10,990, 16,468.44 and 6,602.64 is: 9,894.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,990 : 16,468.44 = 6,602.64 : x
  2. Step 2: Convert to fraction form
    10,990/16,468.44 = 6,602.64/x
  3. Step 3: Cross multiply
    10,990x = 16,468.44 × 6,602.64
  4. Step 4: Simplify right side
    10,990x = 108,735,180.68
  5. Step 5: Solve for x
    x = 108,735,180.68/10,990
  6. Step 6: Final answer
    x = 9,894.01

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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.