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Finding the Fourth Proportional to 8,398.85, 11,590.80 and 5,213.17

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Solution

The fourth proportional to 8,398.85, 11,590.80 and 5,213.17 is: 7,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398.85 : 11,590.80 = 5,213.17 : x
  2. Step 2: Convert to fraction form
    8,398.85/11,590.80 = 5,213.17/x
  3. Step 3: Cross multiply
    8,398.85x = 11,590.80 × 5,213.17
  4. Step 4: Simplify right side
    8,398.85x = 60,424,805.78
  5. Step 5: Solve for x
    x = 60,424,805.78/8,398.85
  6. Step 6: Final answer
    x = 7,194.41

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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.