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Finding the Fourth Proportional to 2,205.91, 3,307.84 and 973.67

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Solution

The fourth proportional to 2,205.91, 3,307.84 and 973.67 is: 1,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.91 : 3,307.84 = 973.67 : x
  2. Step 2: Convert to fraction form
    2,205.91/3,307.84 = 973.67/x
  3. Step 3: Cross multiply
    2,205.91x = 3,307.84 × 973.67
  4. Step 4: Simplify right side
    2,205.91x = 3,220,744.21
  5. Step 5: Solve for x
    x = 3,220,744.21/2,205.91
  6. Step 6: Final answer
    x = 1,460.05

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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.