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Finding the Fourth Proportional to 4,774, 6,588.84 and 2,912.08

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Solution

The fourth proportional to 4,774, 6,588.84 and 2,912.08 is: 4,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774 : 6,588.84 = 2,912.08 : x
  2. Step 2: Convert to fraction form
    4,774/6,588.84 = 2,912.08/x
  3. Step 3: Cross multiply
    4,774x = 6,588.84 × 2,912.08
  4. Step 4: Simplify right side
    4,774x = 19,187,229.19
  5. Step 5: Solve for x
    x = 19,187,229.19/4,774
  6. Step 6: Final answer
    x = 4,019.11

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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.