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Finding the Fourth Proportional to 7,779.52, 11,671.20 and 2,585.44

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Solution

The fourth proportional to 7,779.52, 11,671.20 and 2,585.44 is: 3,878.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.52 : 11,671.20 = 2,585.44 : x
  2. Step 2: Convert to fraction form
    7,779.52/11,671.20 = 2,585.44/x
  3. Step 3: Cross multiply
    7,779.52x = 11,671.20 × 2,585.44
  4. Step 4: Simplify right side
    7,779.52x = 30,175,187.33
  5. Step 5: Solve for x
    x = 30,175,187.33/7,779.52
  6. Step 6: Final answer
    x = 3,878.80

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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.