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Finding the Fourth Proportional to 8,340.99, 12,504.23 and 3,407.48

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Solution

The fourth proportional to 8,340.99, 12,504.23 and 3,407.48 is: 5,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.99 : 12,504.23 = 3,407.48 : x
  2. Step 2: Convert to fraction form
    8,340.99/12,504.23 = 3,407.48/x
  3. Step 3: Cross multiply
    8,340.99x = 12,504.23 × 3,407.48
  4. Step 4: Simplify right side
    8,340.99x = 42,607,913.64
  5. Step 5: Solve for x
    x = 42,607,913.64/8,340.99
  6. Step 6: Final answer
    x = 5,108.26

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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.