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Finding the Fourth Proportional to 9,779.67, 13,495.41 and 5,531.22

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Solution

The fourth proportional to 9,779.67, 13,495.41 and 5,531.22 is: 7,632.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.67 : 13,495.41 = 5,531.22 : x
  2. Step 2: Convert to fraction form
    9,779.67/13,495.41 = 5,531.22/x
  3. Step 3: Cross multiply
    9,779.67x = 13,495.41 × 5,531.22
  4. Step 4: Simplify right side
    9,779.67x = 74,646,081.70
  5. Step 5: Solve for x
    x = 74,646,081.70/9,779.67
  6. Step 6: Final answer
    x = 7,632.78

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1.5x scale

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.