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Finding the Fourth Proportional to 7,668.69, 11,496.23 and 2,987.62

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Solution

The fourth proportional to 7,668.69, 11,496.23 and 2,987.62 is: 4,478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.69 : 11,496.23 = 2,987.62 : x
  2. Step 2: Convert to fraction form
    7,668.69/11,496.23 = 2,987.62/x
  3. Step 3: Cross multiply
    7,668.69x = 11,496.23 × 2,987.62
  4. Step 4: Simplify right side
    7,668.69x = 34,346,334.20
  5. Step 5: Solve for x
    x = 34,346,334.20/7,668.69
  6. Step 6: Final answer
    x = 4,478.77

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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.