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Finding the Fourth Proportional to 2,674.51, 4,009.33 and 1,807

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Solution

The fourth proportional to 2,674.51, 4,009.33 and 1,807 is: 2,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.51 : 4,009.33 = 1,807 : x
  2. Step 2: Convert to fraction form
    2,674.51/4,009.33 = 1,807/x
  3. Step 3: Cross multiply
    2,674.51x = 4,009.33 × 1,807
  4. Step 4: Simplify right side
    2,674.51x = 7,244,859.31
  5. Step 5: Solve for x
    x = 7,244,859.31/2,674.51
  6. Step 6: Final answer
    x = 2,708.85

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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.