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Finding the Fourth Proportional to 12,983, 19,488.36 and 5,591.12

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Solution

The fourth proportional to 12,983, 19,488.36 and 5,591.12 is: 8,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983 : 19,488.36 = 5,591.12 : x
  2. Step 2: Convert to fraction form
    12,983/19,488.36 = 5,591.12/x
  3. Step 3: Cross multiply
    12,983x = 19,488.36 × 5,591.12
  4. Step 4: Simplify right side
    12,983x = 108,961,759.36
  5. Step 5: Solve for x
    x = 108,961,759.36/12,983
  6. Step 6: Final answer
    x = 8,392.65

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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.