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Finding the Fourth Proportional to 11,434.52, 15,779.49 and 6,398.66

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Solution

The fourth proportional to 11,434.52, 15,779.49 and 6,398.66 is: 8,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.52 : 15,779.49 = 6,398.66 : x
  2. Step 2: Convert to fraction form
    11,434.52/15,779.49 = 6,398.66/x
  3. Step 3: Cross multiply
    11,434.52x = 15,779.49 × 6,398.66
  4. Step 4: Simplify right side
    11,434.52x = 100,967,591.48
  5. Step 5: Solve for x
    x = 100,967,591.48/11,434.52
  6. Step 6: Final answer
    x = 8,830.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.