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Finding the Fourth Proportional to 2,125.47, 3,188.08 and 664.45

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Solution

The fourth proportional to 2,125.47, 3,188.08 and 664.45 is: 996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.47 : 3,188.08 = 664.45 : x
  2. Step 2: Convert to fraction form
    2,125.47/3,188.08 = 664.45/x
  3. Step 3: Cross multiply
    2,125.47x = 3,188.08 × 664.45
  4. Step 4: Simplify right side
    2,125.47x = 2,118,319.76
  5. Step 5: Solve for x
    x = 2,118,319.76/2,125.47
  6. Step 6: Final answer
    x = 996.64

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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.