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Finding the Fourth Proportional to 11,776, 17,666.16 and 5,620

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Solution

The fourth proportional to 11,776, 17,666.16 and 5,620 is: 8,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776 : 17,666.16 = 5,620 : x
  2. Step 2: Convert to fraction form
    11,776/17,666.16 = 5,620/x
  3. Step 3: Cross multiply
    11,776x = 17,666.16 × 5,620
  4. Step 4: Simplify right side
    11,776x = 99,283,819.20
  5. Step 5: Solve for x
    x = 99,283,819.20/11,776
  6. Step 6: Final answer
    x = 8,431.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.