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Finding the Fourth Proportional to 3,574, 5,364.47 and 1,726.42

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Solution

The fourth proportional to 3,574, 5,364.47 and 1,726.42 is: 2,591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574 : 5,364.47 = 1,726.42 : x
  2. Step 2: Convert to fraction form
    3,574/5,364.47 = 1,726.42/x
  3. Step 3: Cross multiply
    3,574x = 5,364.47 × 1,726.42
  4. Step 4: Simplify right side
    3,574x = 9,261,328.30
  5. Step 5: Solve for x
    x = 9,261,328.30/3,574
  6. Step 6: Final answer
    x = 2,591.31

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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.