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Finding the Fourth Proportional to 2,757.30, 3,807.07 and 1,696.50

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Solution

The fourth proportional to 2,757.30, 3,807.07 and 1,696.50 is: 2,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.30 : 3,807.07 = 1,696.50 : x
  2. Step 2: Convert to fraction form
    2,757.30/3,807.07 = 1,696.50/x
  3. Step 3: Cross multiply
    2,757.30x = 3,807.07 × 1,696.50
  4. Step 4: Simplify right side
    2,757.30x = 6,458,666.74
  5. Step 5: Solve for x
    x = 6,458,666.74/2,757.30
  6. Step 6: Final answer
    x = 2,342.39

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1.5x scale

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.