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Finding the Fourth Proportional to 4,761.96, 7,141.11 and 1,989.93

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Solution

The fourth proportional to 4,761.96, 7,141.11 and 1,989.93 is: 2,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.96 : 7,141.11 = 1,989.93 : x
  2. Step 2: Convert to fraction form
    4,761.96/7,141.11 = 1,989.93/x
  3. Step 3: Cross multiply
    4,761.96x = 7,141.11 × 1,989.93
  4. Step 4: Simplify right side
    4,761.96x = 14,210,309.02
  5. Step 5: Solve for x
    x = 14,210,309.02/4,761.96
  6. Step 6: Final answer
    x = 2,984.13

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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.