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Finding the Fourth Proportional to 7,136.76, 10,699.84 and 3,435.48

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Solution

The fourth proportional to 7,136.76, 10,699.84 and 3,435.48 is: 5,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.76 : 10,699.84 = 3,435.48 : x
  2. Step 2: Convert to fraction form
    7,136.76/10,699.84 = 3,435.48/x
  3. Step 3: Cross multiply
    7,136.76x = 10,699.84 × 3,435.48
  4. Step 4: Simplify right side
    7,136.76x = 36,759,086.32
  5. Step 5: Solve for x
    x = 36,759,086.32/7,136.76
  6. Step 6: Final answer
    x = 5,150.67

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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.