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Finding the Fourth Proportional to 2,970.96, 4,448.12 and 2,238.24

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Solution

The fourth proportional to 2,970.96, 4,448.12 and 2,238.24 is: 3,351.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.96 : 4,448.12 = 2,238.24 : x
  2. Step 2: Convert to fraction form
    2,970.96/4,448.12 = 2,238.24/x
  3. Step 3: Cross multiply
    2,970.96x = 4,448.12 × 2,238.24
  4. Step 4: Simplify right side
    2,970.96x = 9,955,960.11
  5. Step 5: Solve for x
    x = 9,955,960.11/2,970.96
  6. Step 6: Final answer
    x = 3,351.09

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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.