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Finding the Fourth Proportional to 19,139.36, 28,698 and 7,438.91

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Solution

The fourth proportional to 19,139.36, 28,698 and 7,438.91 is: 11,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,139.36 : 28,698 = 7,438.91 : x
  2. Step 2: Convert to fraction form
    19,139.36/28,698 = 7,438.91/x
  3. Step 3: Cross multiply
    19,139.36x = 28,698 × 7,438.91
  4. Step 4: Simplify right side
    19,139.36x = 213,481,839.18
  5. Step 5: Solve for x
    x = 213,481,839.18/19,139.36
  6. Step 6: Final answer
    x = 11,154.07

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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.