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Finding the Fourth Proportional to 8,447.89, 11,658.96 and 4,862.98

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Solution

The fourth proportional to 8,447.89, 11,658.96 and 4,862.98 is: 6,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.89 : 11,658.96 = 4,862.98 : x
  2. Step 2: Convert to fraction form
    8,447.89/11,658.96 = 4,862.98/x
  3. Step 3: Cross multiply
    8,447.89x = 11,658.96 × 4,862.98
  4. Step 4: Simplify right side
    8,447.89x = 56,697,325.74
  5. Step 5: Solve for x
    x = 56,697,325.74/8,447.89
  6. Step 6: Final answer
    x = 6,711.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.