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Finding the Fourth Proportional to 5,605.48, 8,409.84 and 2,143

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Solution

The fourth proportional to 5,605.48, 8,409.84 and 2,143 is: 3,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.48 : 8,409.84 = 2,143 : x
  2. Step 2: Convert to fraction form
    5,605.48/8,409.84 = 2,143/x
  3. Step 3: Cross multiply
    5,605.48x = 8,409.84 × 2,143
  4. Step 4: Simplify right side
    5,605.48x = 18,022,287.12
  5. Step 5: Solve for x
    x = 18,022,287.12/5,605.48
  6. Step 6: Final answer
    x = 3,215.12

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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.