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Finding the Fourth Proportional to 2,242.95, 3,364.41 and 874.95

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Solution

The fourth proportional to 2,242.95, 3,364.41 and 874.95 is: 1,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.95 : 3,364.41 = 874.95 : x
  2. Step 2: Convert to fraction form
    2,242.95/3,364.41 = 874.95/x
  3. Step 3: Cross multiply
    2,242.95x = 3,364.41 × 874.95
  4. Step 4: Simplify right side
    2,242.95x = 2,943,690.53
  5. Step 5: Solve for x
    x = 2,943,690.53/2,242.95
  6. Step 6: Final answer
    x = 1,312.42

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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.