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Finding the Fourth Proportional to 8,343, 12,513.02 and 3,662.15

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Solution

The fourth proportional to 8,343, 12,513.02 and 3,662.15 is: 5,492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343 : 12,513.02 = 3,662.15 : x
  2. Step 2: Convert to fraction form
    8,343/12,513.02 = 3,662.15/x
  3. Step 3: Cross multiply
    8,343x = 12,513.02 × 3,662.15
  4. Step 4: Simplify right side
    8,343x = 45,824,475.32
  5. Step 5: Solve for x
    x = 45,824,475.32/8,343
  6. Step 6: Final answer
    x = 5,492.57

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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.