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Finding the Fourth Proportional to 3,436.53, 4,742.43 and 1,864.64

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Solution

The fourth proportional to 3,436.53, 4,742.43 and 1,864.64 is: 2,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.53 : 4,742.43 = 1,864.64 : x
  2. Step 2: Convert to fraction form
    3,436.53/4,742.43 = 1,864.64/x
  3. Step 3: Cross multiply
    3,436.53x = 4,742.43 × 1,864.64
  4. Step 4: Simplify right side
    3,436.53x = 8,842,891.64
  5. Step 5: Solve for x
    x = 8,842,891.64/3,436.53
  6. Step 6: Final answer
    x = 2,573.20

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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.