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Finding the Fourth Proportional to 5,564, 8,345 and 2,443.44

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Solution

The fourth proportional to 5,564, 8,345 and 2,443.44 is: 3,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564 : 8,345 = 2,443.44 : x
  2. Step 2: Convert to fraction form
    5,564/8,345 = 2,443.44/x
  3. Step 3: Cross multiply
    5,564x = 8,345 × 2,443.44
  4. Step 4: Simplify right side
    5,564x = 20,390,506.80
  5. Step 5: Solve for x
    x = 20,390,506.80/5,564
  6. Step 6: Final answer
    x = 3,664.72

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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.