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Finding the Fourth Proportional to 13,031.28, 17,955 and 8,832.24

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Solution

The fourth proportional to 13,031.28, 17,955 and 8,832.24 is: 12,169.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.28 : 17,955 = 8,832.24 : x
  2. Step 2: Convert to fraction form
    13,031.28/17,955 = 8,832.24/x
  3. Step 3: Cross multiply
    13,031.28x = 17,955 × 8,832.24
  4. Step 4: Simplify right side
    13,031.28x = 158,582,869.20
  5. Step 5: Solve for x
    x = 158,582,869.20/13,031.28
  6. Step 6: Final answer
    x = 12,169.40

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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.