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Finding the Fourth Proportional to 12,889.64, 17,748.16 and 11,287.12

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Solution

The fourth proportional to 12,889.64, 17,748.16 and 11,287.12 is: 15,541.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.64 : 17,748.16 = 11,287.12 : x
  2. Step 2: Convert to fraction form
    12,889.64/17,748.16 = 11,287.12/x
  3. Step 3: Cross multiply
    12,889.64x = 17,748.16 × 11,287.12
  4. Step 4: Simplify right side
    12,889.64x = 200,325,611.70
  5. Step 5: Solve for x
    x = 200,325,611.70/12,889.64
  6. Step 6: Final answer
    x = 15,541.60

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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.