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Finding the Fourth Proportional to 11,710.20, 16,160.04 and 6,404.88

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Solution

The fourth proportional to 11,710.20, 16,160.04 and 6,404.88 is: 8,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.20 : 16,160.04 = 6,404.88 : x
  2. Step 2: Convert to fraction form
    11,710.20/16,160.04 = 6,404.88/x
  3. Step 3: Cross multiply
    11,710.20x = 16,160.04 × 6,404.88
  4. Step 4: Simplify right side
    11,710.20x = 103,503,117.00
  5. Step 5: Solve for x
    x = 103,503,117.00/11,710.20
  6. Step 6: Final answer
    x = 8,838.71

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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.