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Finding the Fourth Proportional to 2,121.64, 2,927.26 and 1,375.63

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Solution

The fourth proportional to 2,121.64, 2,927.26 and 1,375.63 is: 1,897.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,121.64 : 2,927.26 = 1,375.63 : x
  2. Step 2: Convert to fraction form
    2,121.64/2,927.26 = 1,375.63/x
  3. Step 3: Cross multiply
    2,121.64x = 2,927.26 × 1,375.63
  4. Step 4: Simplify right side
    2,121.64x = 4,026,826.67
  5. Step 5: Solve for x
    x = 4,026,826.67/2,121.64
  6. Step 6: Final answer
    x = 1,897.98

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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.