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Finding the Fourth Proportional to 3,908.99, 5,864.03 and 1,312.67

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Solution

The fourth proportional to 3,908.99, 5,864.03 and 1,312.67 is: 1,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.99 : 5,864.03 = 1,312.67 : x
  2. Step 2: Convert to fraction form
    3,908.99/5,864.03 = 1,312.67/x
  3. Step 3: Cross multiply
    3,908.99x = 5,864.03 × 1,312.67
  4. Step 4: Simplify right side
    3,908.99x = 7,697,529.70
  5. Step 5: Solve for x
    x = 7,697,529.70/3,908.99
  6. Step 6: Final answer
    x = 1,969.19

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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.