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Finding the Fourth Proportional to 3,784.54, 5,219.87 and 2,605.99

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Solution

The fourth proportional to 3,784.54, 5,219.87 and 2,605.99 is: 3,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.54 : 5,219.87 = 2,605.99 : x
  2. Step 2: Convert to fraction form
    3,784.54/5,219.87 = 2,605.99/x
  3. Step 3: Cross multiply
    3,784.54x = 5,219.87 × 2,605.99
  4. Step 4: Simplify right side
    3,784.54x = 13,602,935.54
  5. Step 5: Solve for x
    x = 13,602,935.54/3,784.54
  6. Step 6: Final answer
    x = 3,594.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.