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Finding the Fourth Proportional to 5,644, 8,471.40 and 2,356.21

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Solution

The fourth proportional to 5,644, 8,471.40 and 2,356.21 is: 3,536.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644 : 8,471.40 = 2,356.21 : x
  2. Step 2: Convert to fraction form
    5,644/8,471.40 = 2,356.21/x
  3. Step 3: Cross multiply
    5,644x = 8,471.40 × 2,356.21
  4. Step 4: Simplify right side
    5,644x = 19,960,397.39
  5. Step 5: Solve for x
    x = 19,960,397.39/5,644
  6. Step 6: Final answer
    x = 3,536.57

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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.