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Finding the Fourth Proportional to 1,894.45, 2,828.89 and 1,548.46

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Solution

The fourth proportional to 1,894.45, 2,828.89 and 1,548.46 is: 2,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.45 : 2,828.89 = 1,548.46 : x
  2. Step 2: Convert to fraction form
    1,894.45/2,828.89 = 1,548.46/x
  3. Step 3: Cross multiply
    1,894.45x = 2,828.89 × 1,548.46
  4. Step 4: Simplify right side
    1,894.45x = 4,380,426.88
  5. Step 5: Solve for x
    x = 4,380,426.88/1,894.45
  6. Step 6: Final answer
    x = 2,312.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.