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Finding the Fourth Proportional to 8,648.61, 12,972.30 and 4,939.21

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Solution

The fourth proportional to 8,648.61, 12,972.30 and 4,939.21 is: 7,408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.61 : 12,972.30 = 4,939.21 : x
  2. Step 2: Convert to fraction form
    8,648.61/12,972.30 = 4,939.21/x
  3. Step 3: Cross multiply
    8,648.61x = 12,972.30 × 4,939.21
  4. Step 4: Simplify right side
    8,648.61x = 64,072,913.88
  5. Step 5: Solve for x
    x = 64,072,913.88/8,648.61
  6. Step 6: Final answer
    x = 7,408.46

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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.