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Finding the Fourth Proportional to 2,009.78, 3,014.96 and 623.23

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Solution

The fourth proportional to 2,009.78, 3,014.96 and 623.23 is: 934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.78 : 3,014.96 = 623.23 : x
  2. Step 2: Convert to fraction form
    2,009.78/3,014.96 = 623.23/x
  3. Step 3: Cross multiply
    2,009.78x = 3,014.96 × 623.23
  4. Step 4: Simplify right side
    2,009.78x = 1,879,013.52
  5. Step 5: Solve for x
    x = 1,879,013.52/2,009.78
  6. Step 6: Final answer
    x = 934.93

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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.