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Finding the Fourth Proportional to 11,985.68, 16,539.91 and 7,511.91

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Solution

The fourth proportional to 11,985.68, 16,539.91 and 7,511.91 is: 10,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.68 : 16,539.91 = 7,511.91 : x
  2. Step 2: Convert to fraction form
    11,985.68/16,539.91 = 7,511.91/x
  3. Step 3: Cross multiply
    11,985.68x = 16,539.91 × 7,511.91
  4. Step 4: Simplify right side
    11,985.68x = 124,246,234.52
  5. Step 5: Solve for x
    x = 124,246,234.52/11,985.68
  6. Step 6: Final answer
    x = 10,366.22

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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.