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Finding the Fourth Proportional to 9,779.93, 13,496.87 and 5,531.37

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Solution

The fourth proportional to 9,779.93, 13,496.87 and 5,531.37 is: 7,633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.93 : 13,496.87 = 5,531.37 : x
  2. Step 2: Convert to fraction form
    9,779.93/13,496.87 = 5,531.37/x
  3. Step 3: Cross multiply
    9,779.93x = 13,496.87 × 5,531.37
  4. Step 4: Simplify right side
    9,779.93x = 74,656,145.03
  5. Step 5: Solve for x
    x = 74,656,145.03/9,779.93
  6. Step 6: Final answer
    x = 7,633.61

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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.