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Finding the Fourth Proportional to 9,247, 12,757.74 and 5,265.29

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Solution

The fourth proportional to 9,247, 12,757.74 and 5,265.29 is: 7,264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247 : 12,757.74 = 5,265.29 : x
  2. Step 2: Convert to fraction form
    9,247/12,757.74 = 5,265.29/x
  3. Step 3: Cross multiply
    9,247x = 12,757.74 × 5,265.29
  4. Step 4: Simplify right side
    9,247x = 67,173,200.84
  5. Step 5: Solve for x
    x = 67,173,200.84/9,247
  6. Step 6: Final answer
    x = 7,264.32

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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.