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Finding the Fourth Proportional to 5,291.63, 7,940.04 and 2,128.94

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Solution

The fourth proportional to 5,291.63, 7,940.04 and 2,128.94 is: 3,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.63 : 7,940.04 = 2,128.94 : x
  2. Step 2: Convert to fraction form
    5,291.63/7,940.04 = 2,128.94/x
  3. Step 3: Cross multiply
    5,291.63x = 7,940.04 × 2,128.94
  4. Step 4: Simplify right side
    5,291.63x = 16,903,818.41
  5. Step 5: Solve for x
    x = 16,903,818.41/5,291.63
  6. Step 6: Final answer
    x = 3,194.45

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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.