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Finding the Fourth Proportional to 2,276.93, 3,413.54 and 890.01

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Solution

The fourth proportional to 2,276.93, 3,413.54 and 890.01 is: 1,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.93 : 3,413.54 = 890.01 : x
  2. Step 2: Convert to fraction form
    2,276.93/3,413.54 = 890.01/x
  3. Step 3: Cross multiply
    2,276.93x = 3,413.54 × 890.01
  4. Step 4: Simplify right side
    2,276.93x = 3,038,080.29
  5. Step 5: Solve for x
    x = 3,038,080.29/2,276.93
  6. Step 6: Final answer
    x = 1,334.29

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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.