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Finding the Fourth Proportional to 2,794, 4,185.52 and 1,916.40

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Solution

The fourth proportional to 2,794, 4,185.52 and 1,916.40 is: 2,870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794 : 4,185.52 = 1,916.40 : x
  2. Step 2: Convert to fraction form
    2,794/4,185.52 = 1,916.40/x
  3. Step 3: Cross multiply
    2,794x = 4,185.52 × 1,916.40
  4. Step 4: Simplify right side
    2,794x = 8,021,130.53
  5. Step 5: Solve for x
    x = 8,021,130.53/2,794
  6. Step 6: Final answer
    x = 2,870.84

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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.