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Finding the Fourth Proportional to 4,913, 6,780 and 2,817.32

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Solution

The fourth proportional to 4,913, 6,780 and 2,817.32 is: 3,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913 : 6,780 = 2,817.32 : x
  2. Step 2: Convert to fraction form
    4,913/6,780 = 2,817.32/x
  3. Step 3: Cross multiply
    4,913x = 6,780 × 2,817.32
  4. Step 4: Simplify right side
    4,913x = 19,101,429.60
  5. Step 5: Solve for x
    x = 19,101,429.60/4,913
  6. Step 6: Final answer
    x = 3,887.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.