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Finding the Fourth Proportional to 1,909.32, 2,863.54 and 971.32

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Solution

The fourth proportional to 1,909.32, 2,863.54 and 971.32 is: 1,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.32 : 2,863.54 = 971.32 : x
  2. Step 2: Convert to fraction form
    1,909.32/2,863.54 = 971.32/x
  3. Step 3: Cross multiply
    1,909.32x = 2,863.54 × 971.32
  4. Step 4: Simplify right side
    1,909.32x = 2,781,413.67
  5. Step 5: Solve for x
    x = 2,781,413.67/1,909.32
  6. Step 6: Final answer
    x = 1,456.76

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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.