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Finding the Fourth Proportional to 12,986.64, 17,907.48 and 8,264.88

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Solution

The fourth proportional to 12,986.64, 17,907.48 and 8,264.88 is: 11,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.64 : 17,907.48 = 8,264.88 : x
  2. Step 2: Convert to fraction form
    12,986.64/17,907.48 = 8,264.88/x
  3. Step 3: Cross multiply
    12,986.64x = 17,907.48 × 8,264.88
  4. Step 4: Simplify right side
    12,986.64x = 148,003,173.30
  5. Step 5: Solve for x
    x = 148,003,173.30/12,986.64
  6. Step 6: Final answer
    x = 11,396.57

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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.