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Finding the Fourth Proportional to 5,456.16, 8,187.74 and 5,436

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Solution

The fourth proportional to 5,456.16, 8,187.74 and 5,436 is: 8,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.16 : 8,187.74 = 5,436 : x
  2. Step 2: Convert to fraction form
    5,456.16/8,187.74 = 5,436/x
  3. Step 3: Cross multiply
    5,456.16x = 8,187.74 × 5,436
  4. Step 4: Simplify right side
    5,456.16x = 44,508,554.64
  5. Step 5: Solve for x
    x = 44,508,554.64/5,456.16
  6. Step 6: Final answer
    x = 8,157.49

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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.