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Finding the Fourth Proportional to 5,621.65, 8,431.00 and 1,671.84

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Solution

The fourth proportional to 5,621.65, 8,431.00 and 1,671.84 is: 2,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,621.65 : 8,431.00 = 1,671.84 : x
  2. Step 2: Convert to fraction form
    5,621.65/8,431.00 = 1,671.84/x
  3. Step 3: Cross multiply
    5,621.65x = 8,431.00 × 1,671.84
  4. Step 4: Simplify right side
    5,621.65x = 14,095,272.52
  5. Step 5: Solve for x
    x = 14,095,272.52/5,621.65
  6. Step 6: Final answer
    x = 2,507.32

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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.