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Finding the Fourth Proportional to 1,741.47, 2,611.94 and 571.47

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Solution

The fourth proportional to 1,741.47, 2,611.94 and 571.47 is: 857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741.47 : 2,611.94 = 571.47 : x
  2. Step 2: Convert to fraction form
    1,741.47/2,611.94 = 571.47/x
  3. Step 3: Cross multiply
    1,741.47x = 2,611.94 × 571.47
  4. Step 4: Simplify right side
    1,741.47x = 1,492,645.35
  5. Step 5: Solve for x
    x = 1,492,645.35/1,741.47
  6. Step 6: Final answer
    x = 857.12

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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.