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Finding the Fourth Proportional to 9,779.62, 13,478.25 and 7,122.82

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Solution

The fourth proportional to 9,779.62, 13,478.25 and 7,122.82 is: 9,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.62 : 13,478.25 = 7,122.82 : x
  2. Step 2: Convert to fraction form
    9,779.62/13,478.25 = 7,122.82/x
  3. Step 3: Cross multiply
    9,779.62x = 13,478.25 × 7,122.82
  4. Step 4: Simplify right side
    9,779.62x = 96,003,148.67
  5. Step 5: Solve for x
    x = 96,003,148.67/9,779.62
  6. Step 6: Final answer
    x = 9,816.65

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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.