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Finding the Fourth Proportional to 6,737, 10,089.82 and 6,503.40

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Solution

The fourth proportional to 6,737, 10,089.82 and 6,503.40 is: 9,739.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737 : 10,089.82 = 6,503.40 : x
  2. Step 2: Convert to fraction form
    6,737/10,089.82 = 6,503.40/x
  3. Step 3: Cross multiply
    6,737x = 10,089.82 × 6,503.40
  4. Step 4: Simplify right side
    6,737x = 65,618,135.39
  5. Step 5: Solve for x
    x = 65,618,135.39/6,737
  6. Step 6: Final answer
    x = 9,739.96

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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.