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Finding the Fourth Proportional to 12,653.16, 18,964.34 and 8,956.44

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Solution

The fourth proportional to 12,653.16, 18,964.34 and 8,956.44 is: 13,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.16 : 18,964.34 = 8,956.44 : x
  2. Step 2: Convert to fraction form
    12,653.16/18,964.34 = 8,956.44/x
  3. Step 3: Cross multiply
    12,653.16x = 18,964.34 × 8,956.44
  4. Step 4: Simplify right side
    12,653.16x = 169,852,973.35
  5. Step 5: Solve for x
    x = 169,852,973.35/12,653.16
  6. Step 6: Final answer
    x = 13,423.76

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1.5x scale

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.