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Finding the Fourth Proportional to 2,146, 3,219 and 607.04

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Solution

The fourth proportional to 2,146, 3,219 and 607.04 is: 910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146 : 3,219 = 607.04 : x
  2. Step 2: Convert to fraction form
    2,146/3,219 = 607.04/x
  3. Step 3: Cross multiply
    2,146x = 3,219 × 607.04
  4. Step 4: Simplify right side
    2,146x = 1,954,061.76
  5. Step 5: Solve for x
    x = 1,954,061.76/2,146
  6. Step 6: Final answer
    x = 910.56

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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.