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Finding the Fourth Proportional to 5,659.02, 8,487 and 2,148.93

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Solution

The fourth proportional to 5,659.02, 8,487 and 2,148.93 is: 3,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.02 : 8,487 = 2,148.93 : x
  2. Step 2: Convert to fraction form
    5,659.02/8,487 = 2,148.93/x
  3. Step 3: Cross multiply
    5,659.02x = 8,487 × 2,148.93
  4. Step 4: Simplify right side
    5,659.02x = 18,237,968.91
  5. Step 5: Solve for x
    x = 18,237,968.91/5,659.02
  6. Step 6: Final answer
    x = 3,222.81

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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.