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Finding the Fourth Proportional to 11,611.52, 16,032 and 8,918.24

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Solution

The fourth proportional to 11,611.52, 16,032 and 8,918.24 is: 12,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.52 : 16,032 = 8,918.24 : x
  2. Step 2: Convert to fraction form
    11,611.52/16,032 = 8,918.24/x
  3. Step 3: Cross multiply
    11,611.52x = 16,032 × 8,918.24
  4. Step 4: Simplify right side
    11,611.52x = 142,977,223.68
  5. Step 5: Solve for x
    x = 142,977,223.68/11,611.52
  6. Step 6: Final answer
    x = 12,313.39

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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.