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Finding the Fourth Proportional to 2,970.82, 4,456.23 and 1,216.78

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Solution

The fourth proportional to 2,970.82, 4,456.23 and 1,216.78 is: 1,825.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.82 : 4,456.23 = 1,216.78 : x
  2. Step 2: Convert to fraction form
    2,970.82/4,456.23 = 1,216.78/x
  3. Step 3: Cross multiply
    2,970.82x = 4,456.23 × 1,216.78
  4. Step 4: Simplify right side
    2,970.82x = 5,422,224.66
  5. Step 5: Solve for x
    x = 5,422,224.66/2,970.82
  6. Step 6: Final answer
    x = 1,825.16

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1.5x scale

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.