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Finding the Fourth Proportional to 4,938, 6,813.50 and 3,051.22

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Solution

The fourth proportional to 4,938, 6,813.50 and 3,051.22 is: 4,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938 : 6,813.50 = 3,051.22 : x
  2. Step 2: Convert to fraction form
    4,938/6,813.50 = 3,051.22/x
  3. Step 3: Cross multiply
    4,938x = 6,813.50 × 3,051.22
  4. Step 4: Simplify right side
    4,938x = 20,789,487.47
  5. Step 5: Solve for x
    x = 20,789,487.47/4,938
  6. Step 6: Final answer
    x = 4,210.10

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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.