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Finding the Fourth Proportional to 7,511.62, 11,259.62 and 2,828.42

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Solution

The fourth proportional to 7,511.62, 11,259.62 and 2,828.42 is: 4,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,511.62 : 11,259.62 = 2,828.42 : x
  2. Step 2: Convert to fraction form
    7,511.62/11,259.62 = 2,828.42/x
  3. Step 3: Cross multiply
    7,511.62x = 11,259.62 × 2,828.42
  4. Step 4: Simplify right side
    7,511.62x = 31,846,934.40
  5. Step 5: Solve for x
    x = 31,846,934.40/7,511.62
  6. Step 6: Final answer
    x = 4,239.69

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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.