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Finding the Fourth Proportional to 1,889.57, 2,604.86 and 1,320.64

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Solution

The fourth proportional to 1,889.57, 2,604.86 and 1,320.64 is: 1,820.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.57 : 2,604.86 = 1,320.64 : x
  2. Step 2: Convert to fraction form
    1,889.57/2,604.86 = 1,320.64/x
  3. Step 3: Cross multiply
    1,889.57x = 2,604.86 × 1,320.64
  4. Step 4: Simplify right side
    1,889.57x = 3,440,081.51
  5. Step 5: Solve for x
    x = 3,440,081.51/1,889.57
  6. Step 6: Final answer
    x = 1,820.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.