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Finding the Fourth Proportional to 1,897.06, 2,841.75 and 922.42

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Solution

The fourth proportional to 1,897.06, 2,841.75 and 922.42 is: 1,381.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.06 : 2,841.75 = 922.42 : x
  2. Step 2: Convert to fraction form
    1,897.06/2,841.75 = 922.42/x
  3. Step 3: Cross multiply
    1,897.06x = 2,841.75 × 922.42
  4. Step 4: Simplify right side
    1,897.06x = 2,621,287.04
  5. Step 5: Solve for x
    x = 2,621,287.04/1,897.06
  6. Step 6: Final answer
    x = 1,381.76

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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.