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Finding the Fourth Proportional to 8,345.94, 12,520.13 and 2,798.04

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Solution

The fourth proportional to 8,345.94, 12,520.13 and 2,798.04 is: 4,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345.94 : 12,520.13 = 2,798.04 : x
  2. Step 2: Convert to fraction form
    8,345.94/12,520.13 = 2,798.04/x
  3. Step 3: Cross multiply
    8,345.94x = 12,520.13 × 2,798.04
  4. Step 4: Simplify right side
    8,345.94x = 35,031,810.56
  5. Step 5: Solve for x
    x = 35,031,810.56/8,345.94
  6. Step 6: Final answer
    x = 4,197.47

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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.