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Finding the Fourth Proportional to 5,663.79, 8,479.92 and 2,884.47

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Solution

The fourth proportional to 5,663.79, 8,479.92 and 2,884.47 is: 4,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.79 : 8,479.92 = 2,884.47 : x
  2. Step 2: Convert to fraction form
    5,663.79/8,479.92 = 2,884.47/x
  3. Step 3: Cross multiply
    5,663.79x = 8,479.92 × 2,884.47
  4. Step 4: Simplify right side
    5,663.79x = 24,460,074.84
  5. Step 5: Solve for x
    x = 24,460,074.84/5,663.79
  6. Step 6: Final answer
    x = 4,318.68

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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.