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Finding the Fourth Proportional to 2,326.46, 3,489.70 and 571.47

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Solution

The fourth proportional to 2,326.46, 3,489.70 and 571.47 is: 857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.46 : 3,489.70 = 571.47 : x
  2. Step 2: Convert to fraction form
    2,326.46/3,489.70 = 571.47/x
  3. Step 3: Cross multiply
    2,326.46x = 3,489.70 × 571.47
  4. Step 4: Simplify right side
    2,326.46x = 1,994,258.86
  5. Step 5: Solve for x
    x = 1,994,258.86/2,326.46
  6. Step 6: Final answer
    x = 857.21

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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.