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Finding the Fourth Proportional to 12,891.42, 19,318.88 and 5,488.42

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Solution

The fourth proportional to 12,891.42, 19,318.88 and 5,488.42 is: 8,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,891.42 : 19,318.88 = 5,488.42 : x
  2. Step 2: Convert to fraction form
    12,891.42/19,318.88 = 5,488.42/x
  3. Step 3: Cross multiply
    12,891.42x = 19,318.88 × 5,488.42
  4. Step 4: Simplify right side
    12,891.42x = 106,030,127.37
  5. Step 5: Solve for x
    x = 106,030,127.37/12,891.42
  6. Step 6: Final answer
    x = 8,224.86

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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.