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Finding the Fourth Proportional to 2,970.84, 4,456.26 and 1,238.52

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Solution

The fourth proportional to 2,970.84, 4,456.26 and 1,238.52 is: 1,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.84 : 4,456.26 = 1,238.52 : x
  2. Step 2: Convert to fraction form
    2,970.84/4,456.26 = 1,238.52/x
  3. Step 3: Cross multiply
    2,970.84x = 4,456.26 × 1,238.52
  4. Step 4: Simplify right side
    2,970.84x = 5,519,167.14
  5. Step 5: Solve for x
    x = 5,519,167.14/2,970.84
  6. Step 6: Final answer
    x = 1,857.78

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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.