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Finding the Fourth Proportional to 5,216.77, 7,824.42 and 1,929.31

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Solution

The fourth proportional to 5,216.77, 7,824.42 and 1,929.31 is: 2,893.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.77 : 7,824.42 = 1,929.31 : x
  2. Step 2: Convert to fraction form
    5,216.77/7,824.42 = 1,929.31/x
  3. Step 3: Cross multiply
    5,216.77x = 7,824.42 × 1,929.31
  4. Step 4: Simplify right side
    5,216.77x = 15,095,731.75
  5. Step 5: Solve for x
    x = 15,095,731.75/5,216.77
  6. Step 6: Final answer
    x = 2,893.69

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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.