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Finding the Fourth Proportional to 9,371, 12,932.16 and 5,179.16

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Solution

The fourth proportional to 9,371, 12,932.16 and 5,179.16 is: 7,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371 : 12,932.16 = 5,179.16 : x
  2. Step 2: Convert to fraction form
    9,371/12,932.16 = 5,179.16/x
  3. Step 3: Cross multiply
    9,371x = 12,932.16 × 5,179.16
  4. Step 4: Simplify right side
    9,371x = 66,977,725.79
  5. Step 5: Solve for x
    x = 66,977,725.79/9,371
  6. Step 6: Final answer
    x = 7,147.34

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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.