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Finding the Fourth Proportional to 5,407.50, 8,111.76 and 1,511.94

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Solution

The fourth proportional to 5,407.50, 8,111.76 and 1,511.94 is: 2,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.50 : 8,111.76 = 1,511.94 : x
  2. Step 2: Convert to fraction form
    5,407.50/8,111.76 = 1,511.94/x
  3. Step 3: Cross multiply
    5,407.50x = 8,111.76 × 1,511.94
  4. Step 4: Simplify right side
    5,407.50x = 12,264,494.41
  5. Step 5: Solve for x
    x = 12,264,494.41/5,407.50
  6. Step 6: Final answer
    x = 2,268.05

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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.