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Finding the Fourth Proportional to 1,920.88, 2,878.98 and 822.93

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Solution

The fourth proportional to 1,920.88, 2,878.98 and 822.93 is: 1,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.88 : 2,878.98 = 822.93 : x
  2. Step 2: Convert to fraction form
    1,920.88/2,878.98 = 822.93/x
  3. Step 3: Cross multiply
    1,920.88x = 2,878.98 × 822.93
  4. Step 4: Simplify right side
    1,920.88x = 2,369,199.01
  5. Step 5: Solve for x
    x = 2,369,199.01/1,920.88
  6. Step 6: Final answer
    x = 1,233.39

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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.