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Finding the Fourth Proportional to 1,898.13, 2,843.47 and 970.95

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Solution

The fourth proportional to 1,898.13, 2,843.47 and 970.95 is: 1,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.13 : 2,843.47 = 970.95 : x
  2. Step 2: Convert to fraction form
    1,898.13/2,843.47 = 970.95/x
  3. Step 3: Cross multiply
    1,898.13x = 2,843.47 × 970.95
  4. Step 4: Simplify right side
    1,898.13x = 2,760,867.20
  5. Step 5: Solve for x
    x = 2,760,867.20/1,898.13
  6. Step 6: Final answer
    x = 1,454.52

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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.