Home / 5,784-7,981.90-3,131.40

Finding the Fourth Proportional to 5,784, 7,981.90 and 3,131.40

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Solution

The fourth proportional to 5,784, 7,981.90 and 3,131.40 is: 4,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784 : 7,981.90 = 3,131.40 : x
  2. Step 2: Convert to fraction form
    5,784/7,981.90 = 3,131.40/x
  3. Step 3: Cross multiply
    5,784x = 7,981.90 × 3,131.40
  4. Step 4: Simplify right side
    5,784x = 24,994,521.66
  5. Step 5: Solve for x
    x = 24,994,521.66/5,784
  6. Step 6: Final answer
    x = 4,321.32

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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.