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Finding the Fourth Proportional to 11,710.14, 16,159.79 and 6,404.84

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Solution

The fourth proportional to 11,710.14, 16,159.79 and 6,404.84 is: 8,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.14 : 16,159.79 = 6,404.84 : x
  2. Step 2: Convert to fraction form
    11,710.14/16,159.79 = 6,404.84/x
  3. Step 3: Cross multiply
    11,710.14x = 16,159.79 × 6,404.84
  4. Step 4: Simplify right side
    11,710.14x = 103,500,869.38
  5. Step 5: Solve for x
    x = 103,500,869.38/11,710.14
  6. Step 6: Final answer
    x = 8,838.57

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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.