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Finding the Fourth Proportional to 4,764.34, 7,147.65 and 1,989.47

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Solution

The fourth proportional to 4,764.34, 7,147.65 and 1,989.47 is: 2,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.34 : 7,147.65 = 1,989.47 : x
  2. Step 2: Convert to fraction form
    4,764.34/7,147.65 = 1,989.47/x
  3. Step 3: Cross multiply
    4,764.34x = 7,147.65 × 1,989.47
  4. Step 4: Simplify right side
    4,764.34x = 14,220,035.25
  5. Step 5: Solve for x
    x = 14,220,035.25/4,764.34
  6. Step 6: Final answer
    x = 2,984.68

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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.