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Finding the Fourth Proportional to 8,345, 12,515.34 and 2,500.04

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Solution

The fourth proportional to 8,345, 12,515.34 and 2,500.04 is: 3,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,345 : 12,515.34 = 2,500.04 : x
  2. Step 2: Convert to fraction form
    8,345/12,515.34 = 2,500.04/x
  3. Step 3: Cross multiply
    8,345x = 12,515.34 × 2,500.04
  4. Step 4: Simplify right side
    8,345x = 31,288,850.61
  5. Step 5: Solve for x
    x = 31,288,850.61/8,345
  6. Step 6: Final answer
    x = 3,749.41

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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.