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Finding the Fourth Proportional to 3,215, 4,436.70 and 1,743

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Solution

The fourth proportional to 3,215, 4,436.70 and 1,743 is: 2,405.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215 : 4,436.70 = 1,743 : x
  2. Step 2: Convert to fraction form
    3,215/4,436.70 = 1,743/x
  3. Step 3: Cross multiply
    3,215x = 4,436.70 × 1,743
  4. Step 4: Simplify right side
    3,215x = 7,733,168.10
  5. Step 5: Solve for x
    x = 7,733,168.10/3,215
  6. Step 6: Final answer
    x = 2,405.34

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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.