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Finding the Fourth Proportional to 2,009.02, 3,015.05 and 776.71

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Solution

The fourth proportional to 2,009.02, 3,015.05 and 776.71 is: 1,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.02 : 3,015.05 = 776.71 : x
  2. Step 2: Convert to fraction form
    2,009.02/3,015.05 = 776.71/x
  3. Step 3: Cross multiply
    2,009.02x = 3,015.05 × 776.71
  4. Step 4: Simplify right side
    2,009.02x = 2,341,808.06
  5. Step 5: Solve for x
    x = 2,341,808.06/2,009.02
  6. Step 6: Final answer
    x = 1,165.65

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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.