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Finding the Fourth Proportional to 8,518.97, 12,783.92 and 4,134.03

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Solution

The fourth proportional to 8,518.97, 12,783.92 and 4,134.03 is: 6,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.97 : 12,783.92 = 4,134.03 : x
  2. Step 2: Convert to fraction form
    8,518.97/12,783.92 = 4,134.03/x
  3. Step 3: Cross multiply
    8,518.97x = 12,783.92 × 4,134.03
  4. Step 4: Simplify right side
    8,518.97x = 52,849,088.13
  5. Step 5: Solve for x
    x = 52,849,088.13/8,518.97
  6. Step 6: Final answer
    x = 6,203.70

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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.