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Finding the Fourth Proportional to 1,922.36, 2,881.45 and 933.08

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Solution

The fourth proportional to 1,922.36, 2,881.45 and 933.08 is: 1,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.36 : 2,881.45 = 933.08 : x
  2. Step 2: Convert to fraction form
    1,922.36/2,881.45 = 933.08/x
  3. Step 3: Cross multiply
    1,922.36x = 2,881.45 × 933.08
  4. Step 4: Simplify right side
    1,922.36x = 2,688,618.70
  5. Step 5: Solve for x
    x = 2,688,618.70/1,922.36
  6. Step 6: Final answer
    x = 1,398.61

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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.