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Finding the Fourth Proportional to 2,121.88, 2,918.28 and 1,859.44

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Solution

The fourth proportional to 2,121.88, 2,918.28 and 1,859.44 is: 2,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.88 : 2,918.28 = 1,859.44 : x
  2. Step 2: Convert to fraction form
    2,121.88/2,918.28 = 1,859.44/x
  3. Step 3: Cross multiply
    2,121.88x = 2,918.28 × 1,859.44
  4. Step 4: Simplify right side
    2,121.88x = 5,426,366.56
  5. Step 5: Solve for x
    x = 5,426,366.56/2,121.88
  6. Step 6: Final answer
    x = 2,557.34

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1.5x scale

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.