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Finding the Fourth Proportional to 6,938.80, 10,411.80 and 3,043.60

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Solution

The fourth proportional to 6,938.80, 10,411.80 and 3,043.60 is: 4,566.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.80 : 10,411.80 = 3,043.60 : x
  2. Step 2: Convert to fraction form
    6,938.80/10,411.80 = 3,043.60/x
  3. Step 3: Cross multiply
    6,938.80x = 10,411.80 × 3,043.60
  4. Step 4: Simplify right side
    6,938.80x = 31,689,354.48
  5. Step 5: Solve for x
    x = 31,689,354.48/6,938.80
  6. Step 6: Final answer
    x = 4,566.98

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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.