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Finding the Fourth Proportional to 6,147.69, 9,221.57 and 1,530.69

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Solution

The fourth proportional to 6,147.69, 9,221.57 and 1,530.69 is: 2,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.69 : 9,221.57 = 1,530.69 : x
  2. Step 2: Convert to fraction form
    6,147.69/9,221.57 = 1,530.69/x
  3. Step 3: Cross multiply
    6,147.69x = 9,221.57 × 1,530.69
  4. Step 4: Simplify right side
    6,147.69x = 14,115,357.33
  5. Step 5: Solve for x
    x = 14,115,357.33/6,147.69
  6. Step 6: Final answer
    x = 2,296.04

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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.