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Finding the Fourth Proportional to 11,093.80, 15,310.02 and 6,378.52

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Solution

The fourth proportional to 11,093.80, 15,310.02 and 6,378.52 is: 8,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,093.80 : 15,310.02 = 6,378.52 : x
  2. Step 2: Convert to fraction form
    11,093.80/15,310.02 = 6,378.52/x
  3. Step 3: Cross multiply
    11,093.80x = 15,310.02 × 6,378.52
  4. Step 4: Simplify right side
    11,093.80x = 97,655,268.77
  5. Step 5: Solve for x
    x = 97,655,268.77/11,093.80
  6. Step 6: Final answer
    x = 8,802.69

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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.