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Finding the Fourth Proportional to 7,779.54, 11,660.64 and 4,082.19

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Solution

The fourth proportional to 7,779.54, 11,660.64 and 4,082.19 is: 6,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.54 : 11,660.64 = 4,082.19 : x
  2. Step 2: Convert to fraction form
    7,779.54/11,660.64 = 4,082.19/x
  3. Step 3: Cross multiply
    7,779.54x = 11,660.64 × 4,082.19
  4. Step 4: Simplify right side
    7,779.54x = 47,600,948.00
  5. Step 5: Solve for x
    x = 47,600,948.00/7,779.54
  6. Step 6: Final answer
    x = 6,118.74

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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.