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Finding the Fourth Proportional to 5,406.54, 8,110.01 and 1,511.25

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Solution

The fourth proportional to 5,406.54, 8,110.01 and 1,511.25 is: 2,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.54 : 8,110.01 = 1,511.25 : x
  2. Step 2: Convert to fraction form
    5,406.54/8,110.01 = 1,511.25/x
  3. Step 3: Cross multiply
    5,406.54x = 8,110.01 × 1,511.25
  4. Step 4: Simplify right side
    5,406.54x = 12,256,252.61
  5. Step 5: Solve for x
    x = 12,256,252.61/5,406.54
  6. Step 6: Final answer
    x = 2,266.93

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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.