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Finding the Fourth Proportional to 2,009.71, 3,015.36 and 623.16

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Solution

The fourth proportional to 2,009.71, 3,015.36 and 623.16 is: 934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.71 : 3,015.36 = 623.16 : x
  2. Step 2: Convert to fraction form
    2,009.71/3,015.36 = 623.16/x
  3. Step 3: Cross multiply
    2,009.71x = 3,015.36 × 623.16
  4. Step 4: Simplify right side
    2,009.71x = 1,879,040.43
  5. Step 5: Solve for x
    x = 1,879,040.43/2,009.71
  6. Step 6: Final answer
    x = 934.98

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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.