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Finding the Fourth Proportional to 4,971.88, 7,456.86 and 1,893.16

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Solution

The fourth proportional to 4,971.88, 7,456.86 and 1,893.16 is: 2,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.88 : 7,456.86 = 1,893.16 : x
  2. Step 2: Convert to fraction form
    4,971.88/7,456.86 = 1,893.16/x
  3. Step 3: Cross multiply
    4,971.88x = 7,456.86 × 1,893.16
  4. Step 4: Simplify right side
    4,971.88x = 14,117,029.08
  5. Step 5: Solve for x
    x = 14,117,029.08/4,971.88
  6. Step 6: Final answer
    x = 2,839.37

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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.