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Finding the Fourth Proportional to 6,756, 10,133.67 and 4,784.40

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Solution

The fourth proportional to 6,756, 10,133.67 and 4,784.40 is: 7,176.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756 : 10,133.67 = 4,784.40 : x
  2. Step 2: Convert to fraction form
    6,756/10,133.67 = 4,784.40/x
  3. Step 3: Cross multiply
    6,756x = 10,133.67 × 4,784.40
  4. Step 4: Simplify right side
    6,756x = 48,483,530.75
  5. Step 5: Solve for x
    x = 48,483,530.75/6,756
  6. Step 6: Final answer
    x = 7,176.37

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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.