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Finding the Fourth Proportional to 9,402.63, 12,972.04 and 6,217.44

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Solution

The fourth proportional to 9,402.63, 12,972.04 and 6,217.44 is: 8,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.63 : 12,972.04 = 6,217.44 : x
  2. Step 2: Convert to fraction form
    9,402.63/12,972.04 = 6,217.44/x
  3. Step 3: Cross multiply
    9,402.63x = 12,972.04 × 6,217.44
  4. Step 4: Simplify right side
    9,402.63x = 80,652,880.38
  5. Step 5: Solve for x
    x = 80,652,880.38/9,402.63
  6. Step 6: Final answer
    x = 8,577.69

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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.