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Finding the Fourth Proportional to 8,609.80, 11,879.68 and 5,630

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Solution

The fourth proportional to 8,609.80, 11,879.68 and 5,630 is: 7,768.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.80 : 11,879.68 = 5,630 : x
  2. Step 2: Convert to fraction form
    8,609.80/11,879.68 = 5,630/x
  3. Step 3: Cross multiply
    8,609.80x = 11,879.68 × 5,630
  4. Step 4: Simplify right side
    8,609.80x = 66,882,598.40
  5. Step 5: Solve for x
    x = 66,882,598.40/8,609.80
  6. Step 6: Final answer
    x = 7,768.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.