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Finding the Fourth Proportional to 8,433.66, 12,648.32 and 2,509

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Solution

The fourth proportional to 8,433.66, 12,648.32 and 2,509 is: 3,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.66 : 12,648.32 = 2,509 : x
  2. Step 2: Convert to fraction form
    8,433.66/12,648.32 = 2,509/x
  3. Step 3: Cross multiply
    8,433.66x = 12,648.32 × 2,509
  4. Step 4: Simplify right side
    8,433.66x = 31,734,634.88
  5. Step 5: Solve for x
    x = 31,734,634.88/8,433.66
  6. Step 6: Final answer
    x = 3,762.85

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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.