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Finding the Fourth Proportional to 5,358, 8,042.21 and 2,586.63

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Solution

The fourth proportional to 5,358, 8,042.21 and 2,586.63 is: 3,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358 : 8,042.21 = 2,586.63 : x
  2. Step 2: Convert to fraction form
    5,358/8,042.21 = 2,586.63/x
  3. Step 3: Cross multiply
    5,358x = 8,042.21 × 2,586.63
  4. Step 4: Simplify right side
    5,358x = 20,802,208.72
  5. Step 5: Solve for x
    x = 20,802,208.72/5,358
  6. Step 6: Final answer
    x = 3,882.46

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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.