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Finding the Fourth Proportional to 8,647.76, 12,972.60 and 2,492.24

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Solution

The fourth proportional to 8,647.76, 12,972.60 and 2,492.24 is: 3,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.76 : 12,972.60 = 2,492.24 : x
  2. Step 2: Convert to fraction form
    8,647.76/12,972.60 = 2,492.24/x
  3. Step 3: Cross multiply
    8,647.76x = 12,972.60 × 2,492.24
  4. Step 4: Simplify right side
    8,647.76x = 32,330,832.62
  5. Step 5: Solve for x
    x = 32,330,832.62/8,647.76
  6. Step 6: Final answer
    x = 3,738.64

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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.