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Finding the Fourth Proportional to 11,918.16, 16,447.16 and 6,613.32

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Solution

The fourth proportional to 11,918.16, 16,447.16 and 6,613.32 is: 9,126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.16 : 16,447.16 = 6,613.32 : x
  2. Step 2: Convert to fraction form
    11,918.16/16,447.16 = 6,613.32/x
  3. Step 3: Cross multiply
    11,918.16x = 16,447.16 × 6,613.32
  4. Step 4: Simplify right side
    11,918.16x = 108,770,332.17
  5. Step 5: Solve for x
    x = 108,770,332.17/11,918.16
  6. Step 6: Final answer
    x = 9,126.44

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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.