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Finding the Fourth Proportional to 12,643.10, 18,964.65 and 10,674.80

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Solution

The fourth proportional to 12,643.10, 18,964.65 and 10,674.80 is: 16,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.10 : 18,964.65 = 10,674.80 : x
  2. Step 2: Convert to fraction form
    12,643.10/18,964.65 = 10,674.80/x
  3. Step 3: Cross multiply
    12,643.10x = 18,964.65 × 10,674.80
  4. Step 4: Simplify right side
    12,643.10x = 202,443,845.82
  5. Step 5: Solve for x
    x = 202,443,845.82/12,643.10
  6. Step 6: Final answer
    x = 16,012.20

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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.