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Finding the Fourth Proportional to 10,690, 16,032.80 and 4,113.92

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Solution

The fourth proportional to 10,690, 16,032.80 and 4,113.92 is: 6,170.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690 : 16,032.80 = 4,113.92 : x
  2. Step 2: Convert to fraction form
    10,690/16,032.80 = 4,113.92/x
  3. Step 3: Cross multiply
    10,690x = 16,032.80 × 4,113.92
  4. Step 4: Simplify right side
    10,690x = 65,957,656.58
  5. Step 5: Solve for x
    x = 65,957,656.58/10,690
  6. Step 6: Final answer
    x = 6,170.03

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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.