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Finding the Fourth Proportional to 11,885.35, 16,396.63 and 7,167.01

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Solution

The fourth proportional to 11,885.35, 16,396.63 and 7,167.01 is: 9,887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.35 : 16,396.63 = 7,167.01 : x
  2. Step 2: Convert to fraction form
    11,885.35/16,396.63 = 7,167.01/x
  3. Step 3: Cross multiply
    11,885.35x = 16,396.63 × 7,167.01
  4. Step 4: Simplify right side
    11,885.35x = 117,514,829.09
  5. Step 5: Solve for x
    x = 117,514,829.09/11,885.35
  6. Step 6: Final answer
    x = 9,887.37

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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.