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Finding the Fourth Proportional to 8,331.54, 12,492.45 and 4,861.50

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Solution

The fourth proportional to 8,331.54, 12,492.45 and 4,861.50 is: 7,289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.54 : 12,492.45 = 4,861.50 : x
  2. Step 2: Convert to fraction form
    8,331.54/12,492.45 = 4,861.50/x
  3. Step 3: Cross multiply
    8,331.54x = 12,492.45 × 4,861.50
  4. Step 4: Simplify right side
    8,331.54x = 60,732,045.68
  5. Step 5: Solve for x
    x = 60,732,045.68/8,331.54
  6. Step 6: Final answer
    x = 7,289.41

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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.