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Finding the Fourth Proportional to 5,672, 7,827.36 and 3,188

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Solution

The fourth proportional to 5,672, 7,827.36 and 3,188 is: 4,399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672 : 7,827.36 = 3,188 : x
  2. Step 2: Convert to fraction form
    5,672/7,827.36 = 3,188/x
  3. Step 3: Cross multiply
    5,672x = 7,827.36 × 3,188
  4. Step 4: Simplify right side
    5,672x = 24,953,623.68
  5. Step 5: Solve for x
    x = 24,953,623.68/5,672
  6. Step 6: Final answer
    x = 4,399.44

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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.