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Finding the Fourth Proportional to 2,585.95, 3,878.54 and 942.11

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Solution

The fourth proportional to 2,585.95, 3,878.54 and 942.11 is: 1,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.95 : 3,878.54 = 942.11 : x
  2. Step 2: Convert to fraction form
    2,585.95/3,878.54 = 942.11/x
  3. Step 3: Cross multiply
    2,585.95x = 3,878.54 × 942.11
  4. Step 4: Simplify right side
    2,585.95x = 3,654,022.19
  5. Step 5: Solve for x
    x = 3,654,022.19/2,585.95
  6. Step 6: Final answer
    x = 1,413.03

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1.5x scale

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.