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Finding the Fourth Proportional to 7,854.03, 11,779.70 and 2,589.10

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Solution

The fourth proportional to 7,854.03, 11,779.70 and 2,589.10 is: 3,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.03 : 11,779.70 = 2,589.10 : x
  2. Step 2: Convert to fraction form
    7,854.03/11,779.70 = 2,589.10/x
  3. Step 3: Cross multiply
    7,854.03x = 11,779.70 × 2,589.10
  4. Step 4: Simplify right side
    7,854.03x = 30,498,778.88
  5. Step 5: Solve for x
    x = 30,498,778.88/7,854.03
  6. Step 6: Final answer
    x = 3,883.20

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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.