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Finding the Fourth Proportional to 1,897.24, 2,844.78 and 922.12

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Solution

The fourth proportional to 1,897.24, 2,844.78 and 922.12 is: 1,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.24 : 2,844.78 = 922.12 : x
  2. Step 2: Convert to fraction form
    1,897.24/2,844.78 = 922.12/x
  3. Step 3: Cross multiply
    1,897.24x = 2,844.78 × 922.12
  4. Step 4: Simplify right side
    1,897.24x = 2,623,228.53
  5. Step 5: Solve for x
    x = 2,623,228.53/1,897.24
  6. Step 6: Final answer
    x = 1,382.66

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1.5x scale

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.