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Finding the Fourth Proportional to 5,783.57, 7,981.32 and 3,131.00

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Solution

The fourth proportional to 5,783.57, 7,981.32 and 3,131.00 is: 4,320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.57 : 7,981.32 = 3,131.00 : x
  2. Step 2: Convert to fraction form
    5,783.57/7,981.32 = 3,131.00/x
  3. Step 3: Cross multiply
    5,783.57x = 7,981.32 × 3,131.00
  4. Step 4: Simplify right side
    5,783.57x = 24,989,473.01
  5. Step 5: Solve for x
    x = 24,989,473.01/5,783.57
  6. Step 6: Final answer
    x = 4,320.77

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