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Finding the Fourth Proportional to 1,889.30, 2,832.94 and 656.35

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Solution

The fourth proportional to 1,889.30, 2,832.94 and 656.35 is: 984.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.30 : 2,832.94 = 656.35 : x
  2. Step 2: Convert to fraction form
    1,889.30/2,832.94 = 656.35/x
  3. Step 3: Cross multiply
    1,889.30x = 2,832.94 × 656.35
  4. Step 4: Simplify right side
    1,889.30x = 1,859,400.17
  5. Step 5: Solve for x
    x = 1,859,400.17/1,889.30
  6. Step 6: Final answer
    x = 984.17

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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.