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Finding the Fourth Proportional to 11,685, 16,126.80 and 7,714.38

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Solution

The fourth proportional to 11,685, 16,126.80 and 7,714.38 is: 10,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685 : 16,126.80 = 7,714.38 : x
  2. Step 2: Convert to fraction form
    11,685/16,126.80 = 7,714.38/x
  3. Step 3: Cross multiply
    11,685x = 16,126.80 × 7,714.38
  4. Step 4: Simplify right side
    11,685x = 124,408,263.38
  5. Step 5: Solve for x
    x = 124,408,263.38/11,685
  6. Step 6: Final answer
    x = 10,646.83

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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.