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Finding the Fourth Proportional to 12,291.64, 16,961.52 and 7,576

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Solution

The fourth proportional to 12,291.64, 16,961.52 and 7,576 is: 10,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.64 : 16,961.52 = 7,576 : x
  2. Step 2: Convert to fraction form
    12,291.64/16,961.52 = 7,576/x
  3. Step 3: Cross multiply
    12,291.64x = 16,961.52 × 7,576
  4. Step 4: Simplify right side
    12,291.64x = 128,500,475.52
  5. Step 5: Solve for x
    x = 128,500,475.52/12,291.64
  6. Step 6: Final answer
    x = 10,454.30

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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.