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Finding the Fourth Proportional to 6,367.80, 9,558.90 and 4,913.40

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Solution

The fourth proportional to 6,367.80, 9,558.90 and 4,913.40 is: 7,375.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.80 : 9,558.90 = 4,913.40 : x
  2. Step 2: Convert to fraction form
    6,367.80/9,558.90 = 4,913.40/x
  3. Step 3: Cross multiply
    6,367.80x = 9,558.90 × 4,913.40
  4. Step 4: Simplify right side
    6,367.80x = 46,966,699.26
  5. Step 5: Solve for x
    x = 46,966,699.26/6,367.80
  6. Step 6: Final answer
    x = 7,375.66

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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.