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Finding the Fourth Proportional to 2,013.15, 3,019.62 and 626.45

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Solution

The fourth proportional to 2,013.15, 3,019.62 and 626.45 is: 939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.15 : 3,019.62 = 626.45 : x
  2. Step 2: Convert to fraction form
    2,013.15/3,019.62 = 626.45/x
  3. Step 3: Cross multiply
    2,013.15x = 3,019.62 × 626.45
  4. Step 4: Simplify right side
    2,013.15x = 1,891,639.52
  5. Step 5: Solve for x
    x = 1,891,639.52/2,013.15
  6. Step 6: Final answer
    x = 939.64

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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.