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Finding the Fourth Proportional to 11,398.96, 17,085.36 and 5,230

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Solution

The fourth proportional to 11,398.96, 17,085.36 and 5,230 is: 7,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.96 : 17,085.36 = 5,230 : x
  2. Step 2: Convert to fraction form
    11,398.96/17,085.36 = 5,230/x
  3. Step 3: Cross multiply
    11,398.96x = 17,085.36 × 5,230
  4. Step 4: Simplify right side
    11,398.96x = 89,356,432.80
  5. Step 5: Solve for x
    x = 89,356,432.80/11,398.96
  6. Step 6: Final answer
    x = 7,839.00

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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.