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Finding the Fourth Proportional to 8,492.05, 12,738.08 and 2,648.67

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Solution

The fourth proportional to 8,492.05, 12,738.08 and 2,648.67 is: 3,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.05 : 12,738.08 = 2,648.67 : x
  2. Step 2: Convert to fraction form
    8,492.05/12,738.08 = 2,648.67/x
  3. Step 3: Cross multiply
    8,492.05x = 12,738.08 × 2,648.67
  4. Step 4: Simplify right side
    8,492.05x = 33,738,970.35
  5. Step 5: Solve for x
    x = 33,738,970.35/8,492.05
  6. Step 6: Final answer
    x = 3,973.01

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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.