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Finding the Fourth Proportional to 2,009.24, 3,013.85 and 777.23

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Solution

The fourth proportional to 2,009.24, 3,013.85 and 777.23 is: 1,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.24 : 3,013.85 = 777.23 : x
  2. Step 2: Convert to fraction form
    2,009.24/3,013.85 = 777.23/x
  3. Step 3: Cross multiply
    2,009.24x = 3,013.85 × 777.23
  4. Step 4: Simplify right side
    2,009.24x = 2,342,454.64
  5. Step 5: Solve for x
    x = 2,342,454.64/2,009.24
  6. Step 6: Final answer
    x = 1,165.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.