Home / 7,119-9,823.46-4,135.46

Finding the Fourth Proportional to 7,119, 9,823.46 and 4,135.46

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Solution

The fourth proportional to 7,119, 9,823.46 and 4,135.46 is: 5,706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119 : 9,823.46 = 4,135.46 : x
  2. Step 2: Convert to fraction form
    7,119/9,823.46 = 4,135.46/x
  3. Step 3: Cross multiply
    7,119x = 9,823.46 × 4,135.46
  4. Step 4: Simplify right side
    7,119x = 40,624,456.10
  5. Step 5: Solve for x
    x = 40,624,456.10/7,119
  6. Step 6: Final answer
    x = 5,706.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.