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Finding the Fourth Proportional to 5,409.54, 8,117.04 and 2,487.47

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Solution

The fourth proportional to 5,409.54, 8,117.04 and 2,487.47 is: 3,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.54 : 8,117.04 = 2,487.47 : x
  2. Step 2: Convert to fraction form
    5,409.54/8,117.04 = 2,487.47/x
  3. Step 3: Cross multiply
    5,409.54x = 8,117.04 × 2,487.47
  4. Step 4: Simplify right side
    5,409.54x = 20,190,852.90
  5. Step 5: Solve for x
    x = 20,190,852.90/5,409.54
  6. Step 6: Final answer
    x = 3,732.45

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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.