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Finding the Fourth Proportional to 2,927, 4,039.26 and 1,685

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Solution

The fourth proportional to 2,927, 4,039.26 and 1,685 is: 2,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927 : 4,039.26 = 1,685 : x
  2. Step 2: Convert to fraction form
    2,927/4,039.26 = 1,685/x
  3. Step 3: Cross multiply
    2,927x = 4,039.26 × 1,685
  4. Step 4: Simplify right side
    2,927x = 6,806,153.10
  5. Step 5: Solve for x
    x = 6,806,153.10/2,927
  6. Step 6: Final answer
    x = 2,325.30

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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.