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Finding the Fourth Proportional to 5,347.58, 8,021.82 and 1,971.29

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Solution

The fourth proportional to 5,347.58, 8,021.82 and 1,971.29 is: 2,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.58 : 8,021.82 = 1,971.29 : x
  2. Step 2: Convert to fraction form
    5,347.58/8,021.82 = 1,971.29/x
  3. Step 3: Cross multiply
    5,347.58x = 8,021.82 × 1,971.29
  4. Step 4: Simplify right side
    5,347.58x = 15,813,333.55
  5. Step 5: Solve for x
    x = 15,813,333.55/5,347.58
  6. Step 6: Final answer
    x = 2,957.10

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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.