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Finding the Fourth Proportional to 1,877.64, 2,814.26 and 1,413.92

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Solution

The fourth proportional to 1,877.64, 2,814.26 and 1,413.92 is: 2,119.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.64 : 2,814.26 = 1,413.92 : x
  2. Step 2: Convert to fraction form
    1,877.64/2,814.26 = 1,413.92/x
  3. Step 3: Cross multiply
    1,877.64x = 2,814.26 × 1,413.92
  4. Step 4: Simplify right side
    1,877.64x = 3,979,117.36
  5. Step 5: Solve for x
    x = 3,979,117.36/1,877.64
  6. Step 6: Final answer
    x = 2,119.21

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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.