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Finding the Fourth Proportional to 5,783.92, 7,981.80 and 3,131.32

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Solution

The fourth proportional to 5,783.92, 7,981.80 and 3,131.32 is: 4,321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.92 : 7,981.80 = 3,131.32 : x
  2. Step 2: Convert to fraction form
    5,783.92/7,981.80 = 3,131.32/x
  3. Step 3: Cross multiply
    5,783.92x = 7,981.80 × 3,131.32
  4. Step 4: Simplify right side
    5,783.92x = 24,993,569.98
  5. Step 5: Solve for x
    x = 24,993,569.98/5,783.92
  6. Step 6: Final answer
    x = 4,321.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.