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Finding the Fourth Proportional to 11,340.02, 15,645 and 8,363

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Solution

The fourth proportional to 11,340.02, 15,645 and 8,363 is: 11,537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.02 : 15,645 = 8,363 : x
  2. Step 2: Convert to fraction form
    11,340.02/15,645 = 8,363/x
  3. Step 3: Cross multiply
    11,340.02x = 15,645 × 8,363
  4. Step 4: Simplify right side
    11,340.02x = 130,839,135
  5. Step 5: Solve for x
    x = 130,839,135/11,340.02
  6. Step 6: Final answer
    x = 11,537.82

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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.