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Finding the Fourth Proportional to 6,954, 10,430.16 and 1,759.92

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Solution

The fourth proportional to 6,954, 10,430.16 and 1,759.92 is: 2,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954 : 10,430.16 = 1,759.92 : x
  2. Step 2: Convert to fraction form
    6,954/10,430.16 = 1,759.92/x
  3. Step 3: Cross multiply
    6,954x = 10,430.16 × 1,759.92
  4. Step 4: Simplify right side
    6,954x = 18,356,247.19
  5. Step 5: Solve for x
    x = 18,356,247.19/6,954
  6. Step 6: Final answer
    x = 2,639.67

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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.