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Finding the Fourth Proportional to 2,326.47, 3,489.72 and 571.49

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Solution

The fourth proportional to 2,326.47, 3,489.72 and 571.49 is: 857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.47 : 3,489.72 = 571.49 : x
  2. Step 2: Convert to fraction form
    2,326.47/3,489.72 = 571.49/x
  3. Step 3: Cross multiply
    2,326.47x = 3,489.72 × 571.49
  4. Step 4: Simplify right side
    2,326.47x = 1,994,322.63
  5. Step 5: Solve for x
    x = 1,994,322.63/2,326.47
  6. Step 6: Final answer
    x = 857.23

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1.5x scale

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.