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Finding the Fourth Proportional to 12,956.64, 19,418.52 and 8,275.20

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Solution

The fourth proportional to 12,956.64, 19,418.52 and 8,275.20 is: 12,402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956.64 : 19,418.52 = 8,275.20 : x
  2. Step 2: Convert to fraction form
    12,956.64/19,418.52 = 8,275.20/x
  3. Step 3: Cross multiply
    12,956.64x = 19,418.52 × 8,275.20
  4. Step 4: Simplify right side
    12,956.64x = 160,692,136.70
  5. Step 5: Solve for x
    x = 160,692,136.70/12,956.64
  6. Step 6: Final answer
    x = 12,402.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.