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Finding the Fourth Proportional to 1,950, 2,925.54 and 795.84

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Solution

The fourth proportional to 1,950, 2,925.54 and 795.84 is: 1,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950 : 2,925.54 = 795.84 : x
  2. Step 2: Convert to fraction form
    1,950/2,925.54 = 795.84/x
  3. Step 3: Cross multiply
    1,950x = 2,925.54 × 795.84
  4. Step 4: Simplify right side
    1,950x = 2,328,261.75
  5. Step 5: Solve for x
    x = 2,328,261.75/1,950
  6. Step 6: Final answer
    x = 1,193.98

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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.