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Finding the Fourth Proportional to 11,613.78, 16,029 and 6,898.32

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Solution

The fourth proportional to 11,613.78, 16,029 and 6,898.32 is: 9,520.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.78 : 16,029 = 6,898.32 : x
  2. Step 2: Convert to fraction form
    11,613.78/16,029 = 6,898.32/x
  3. Step 3: Cross multiply
    11,613.78x = 16,029 × 6,898.32
  4. Step 4: Simplify right side
    11,613.78x = 110,573,171.28
  5. Step 5: Solve for x
    x = 110,573,171.28/11,613.78
  6. Step 6: Final answer
    x = 9,520.86

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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.