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Finding the Fourth Proportional to 2,158.69, 3,238.03 and 619.69

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Solution

The fourth proportional to 2,158.69, 3,238.03 and 619.69 is: 929.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.69 : 3,238.03 = 619.69 : x
  2. Step 2: Convert to fraction form
    2,158.69/3,238.03 = 619.69/x
  3. Step 3: Cross multiply
    2,158.69x = 3,238.03 × 619.69
  4. Step 4: Simplify right side
    2,158.69x = 2,006,567.49
  5. Step 5: Solve for x
    x = 2,006,567.49/2,158.69
  6. Step 6: Final answer
    x = 929.53

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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.