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Finding the Fourth Proportional to 2,898.72, 3,998.88 and 1,656

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Solution

The fourth proportional to 2,898.72, 3,998.88 and 1,656 is: 2,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.72 : 3,998.88 = 1,656 : x
  2. Step 2: Convert to fraction form
    2,898.72/3,998.88 = 1,656/x
  3. Step 3: Cross multiply
    2,898.72x = 3,998.88 × 1,656
  4. Step 4: Simplify right side
    2,898.72x = 6,622,145.28
  5. Step 5: Solve for x
    x = 6,622,145.28/2,898.72
  6. Step 6: Final answer
    x = 2,284.51

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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.