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Finding the Fourth Proportional to 2,100.20, 2,897.43 and 1,260.95

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Solution

The fourth proportional to 2,100.20, 2,897.43 and 1,260.95 is: 1,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.20 : 2,897.43 = 1,260.95 : x
  2. Step 2: Convert to fraction form
    2,100.20/2,897.43 = 1,260.95/x
  3. Step 3: Cross multiply
    2,100.20x = 2,897.43 × 1,260.95
  4. Step 4: Simplify right side
    2,100.20x = 3,653,499.87
  5. Step 5: Solve for x
    x = 3,653,499.87/2,100.20
  6. Step 6: Final answer
    x = 1,739.60

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