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Finding the Fourth Proportional to 5,315.72, 7,973.57 and 1,806.09

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Solution

The fourth proportional to 5,315.72, 7,973.57 and 1,806.09 is: 2,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.72 : 7,973.57 = 1,806.09 : x
  2. Step 2: Convert to fraction form
    5,315.72/7,973.57 = 1,806.09/x
  3. Step 3: Cross multiply
    5,315.72x = 7,973.57 × 1,806.09
  4. Step 4: Simplify right side
    5,315.72x = 14,401,011.75
  5. Step 5: Solve for x
    x = 14,401,011.75/5,315.72
  6. Step 6: Final answer
    x = 2,709.14

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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.