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Finding the Fourth Proportional to 8,335.43, 12,503.16 and 3,405.07

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Solution

The fourth proportional to 8,335.43, 12,503.16 and 3,405.07 is: 5,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,335.43 : 12,503.16 = 3,405.07 : x
  2. Step 2: Convert to fraction form
    8,335.43/12,503.16 = 3,405.07/x
  3. Step 3: Cross multiply
    8,335.43x = 12,503.16 × 3,405.07
  4. Step 4: Simplify right side
    8,335.43x = 42,574,135.02
  5. Step 5: Solve for x
    x = 42,574,135.02/8,335.43
  6. Step 6: Final answer
    x = 5,107.61

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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.