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Finding the Fourth Proportional to 11,890.98, 16,417.09 and 7,644.02

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Solution

The fourth proportional to 11,890.98, 16,417.09 and 7,644.02 is: 10,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.98 : 16,417.09 = 7,644.02 : x
  2. Step 2: Convert to fraction form
    11,890.98/16,417.09 = 7,644.02/x
  3. Step 3: Cross multiply
    11,890.98x = 16,417.09 × 7,644.02
  4. Step 4: Simplify right side
    11,890.98x = 125,492,564.30
  5. Step 5: Solve for x
    x = 125,492,564.30/11,890.98
  6. Step 6: Final answer
    x = 10,553.59

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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.