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Finding the Fourth Proportional to 5,811.87, 8,717.88 and 1,429.32

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Solution

The fourth proportional to 5,811.87, 8,717.88 and 1,429.32 is: 2,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.87 : 8,717.88 = 1,429.32 : x
  2. Step 2: Convert to fraction form
    5,811.87/8,717.88 = 1,429.32/x
  3. Step 3: Cross multiply
    5,811.87x = 8,717.88 × 1,429.32
  4. Step 4: Simplify right side
    5,811.87x = 12,460,640.24
  5. Step 5: Solve for x
    x = 12,460,640.24/5,811.87
  6. Step 6: Final answer
    x = 2,144.00

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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.