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Finding the Fourth Proportional to 9,256, 12,757.74 and 7,017.16

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Solution

The fourth proportional to 9,256, 12,757.74 and 7,017.16 is: 9,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256 : 12,757.74 = 7,017.16 : x
  2. Step 2: Convert to fraction form
    9,256/12,757.74 = 7,017.16/x
  3. Step 3: Cross multiply
    9,256x = 12,757.74 × 7,017.16
  4. Step 4: Simplify right side
    9,256x = 89,523,102.82
  5. Step 5: Solve for x
    x = 89,523,102.82/9,256
  6. Step 6: Final answer
    x = 9,671.90

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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.