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Finding the Fourth Proportional to 5,436, 7,479 and 4,845.24

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Solution

The fourth proportional to 5,436, 7,479 and 4,845.24 is: 6,666.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436 : 7,479 = 4,845.24 : x
  2. Step 2: Convert to fraction form
    5,436/7,479 = 4,845.24/x
  3. Step 3: Cross multiply
    5,436x = 7,479 × 4,845.24
  4. Step 4: Simplify right side
    5,436x = 36,237,549.96
  5. Step 5: Solve for x
    x = 36,237,549.96/5,436
  6. Step 6: Final answer
    x = 6,666.22

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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.