Home / 42,022-63,043.24-12,838

Finding the Fourth Proportional to 42,022, 63,043.24 and 12,838

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Solution

The fourth proportional to 42,022, 63,043.24 and 12,838 is: 19,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,022 : 63,043.24 = 12,838 : x
  2. Step 2: Convert to fraction form
    42,022/63,043.24 = 12,838/x
  3. Step 3: Cross multiply
    42,022x = 63,043.24 × 12,838
  4. Step 4: Simplify right side
    42,022x = 809,349,115.12
  5. Step 5: Solve for x
    x = 809,349,115.12/42,022
  6. Step 6: Final answer
    x = 19,260.13

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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.