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Finding the Fourth Proportional to 6,749, 10,128.72 and 4,683.50

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Solution

The fourth proportional to 6,749, 10,128.72 and 4,683.50 is: 7,028.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749 : 10,128.72 = 4,683.50 : x
  2. Step 2: Convert to fraction form
    6,749/10,128.72 = 4,683.50/x
  3. Step 3: Cross multiply
    6,749x = 10,128.72 × 4,683.50
  4. Step 4: Simplify right side
    6,749x = 47,437,860.12
  5. Step 5: Solve for x
    x = 47,437,860.12/6,749
  6. Step 6: Final answer
    x = 7,028.87

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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.