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Finding the Fourth Proportional to 7,779.85, 11,711.28 and 6,976.13

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Solution

The fourth proportional to 7,779.85, 11,711.28 and 6,976.13 is: 10,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.85 : 11,711.28 = 6,976.13 : x
  2. Step 2: Convert to fraction form
    7,779.85/11,711.28 = 6,976.13/x
  3. Step 3: Cross multiply
    7,779.85x = 11,711.28 × 6,976.13
  4. Step 4: Simplify right side
    7,779.85x = 81,699,379.35
  5. Step 5: Solve for x
    x = 81,699,379.35/7,779.85
  6. Step 6: Final answer
    x = 10,501.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.