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Finding the Fourth Proportional to 2,927.66, 4,039.72 and 1,668.77

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Solution

The fourth proportional to 2,927.66, 4,039.72 and 1,668.77 is: 2,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,927.66 : 4,039.72 = 1,668.77 : x
  2. Step 2: Convert to fraction form
    2,927.66/4,039.72 = 1,668.77/x
  3. Step 3: Cross multiply
    2,927.66x = 4,039.72 × 1,668.77
  4. Step 4: Simplify right side
    2,927.66x = 6,741,354.32
  5. Step 5: Solve for x
    x = 6,741,354.32/2,927.66
  6. Step 6: Final answer
    x = 2,302.65

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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.