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Finding the Fourth Proportional to 2,800.92, 4,203.98 and 1,415.24

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Solution

The fourth proportional to 2,800.92, 4,203.98 and 1,415.24 is: 2,124.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.92 : 4,203.98 = 1,415.24 : x
  2. Step 2: Convert to fraction form
    2,800.92/4,203.98 = 1,415.24/x
  3. Step 3: Cross multiply
    2,800.92x = 4,203.98 × 1,415.24
  4. Step 4: Simplify right side
    2,800.92x = 5,949,623.17
  5. Step 5: Solve for x
    x = 5,949,623.17/2,800.92
  6. Step 6: Final answer
    x = 2,124.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.