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Finding the Fourth Proportional to 5,783.86, 7,981.72 and 3,131.26

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Solution

The fourth proportional to 5,783.86, 7,981.72 and 3,131.26 is: 4,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.86 : 7,981.72 = 3,131.26 : x
  2. Step 2: Convert to fraction form
    5,783.86/7,981.72 = 3,131.26/x
  3. Step 3: Cross multiply
    5,783.86x = 7,981.72 × 3,131.26
  4. Step 4: Simplify right side
    5,783.86x = 24,992,840.57
  5. Step 5: Solve for x
    x = 24,992,840.57/5,783.86
  6. Step 6: Final answer
    x = 4,321.14

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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.