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Finding the Fourth Proportional to 12,646.40, 18,964.78 and 4,211.32

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Solution

The fourth proportional to 12,646.40, 18,964.78 and 4,211.32 is: 6,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.40 : 18,964.78 = 4,211.32 : x
  2. Step 2: Convert to fraction form
    12,646.40/18,964.78 = 4,211.32/x
  3. Step 3: Cross multiply
    12,646.40x = 18,964.78 × 4,211.32
  4. Step 4: Simplify right side
    12,646.40x = 79,866,757.31
  5. Step 5: Solve for x
    x = 79,866,757.31/12,646.40
  6. Step 6: Final answer
    x = 6,315.37

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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.