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Finding the Fourth Proportional to 8,433.47, 12,648 and 2,508.76

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Solution

The fourth proportional to 8,433.47, 12,648 and 2,508.76 is: 3,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.47 : 12,648 = 2,508.76 : x
  2. Step 2: Convert to fraction form
    8,433.47/12,648 = 2,508.76/x
  3. Step 3: Cross multiply
    8,433.47x = 12,648 × 2,508.76
  4. Step 4: Simplify right side
    8,433.47x = 31,730,796.48
  5. Step 5: Solve for x
    x = 31,730,796.48/8,433.47
  6. Step 6: Final answer
    x = 3,762.48

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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.