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Finding the Fourth Proportional to 7,779.52, 11,657.48 and 6,321.52

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Solution

The fourth proportional to 7,779.52, 11,657.48 and 6,321.52 is: 9,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.52 : 11,657.48 = 6,321.52 : x
  2. Step 2: Convert to fraction form
    7,779.52/11,657.48 = 6,321.52/x
  3. Step 3: Cross multiply
    7,779.52x = 11,657.48 × 6,321.52
  4. Step 4: Simplify right side
    7,779.52x = 73,692,992.97
  5. Step 5: Solve for x
    x = 73,692,992.97/7,779.52
  6. Step 6: Final answer
    x = 9,472.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.