Home / 2,069.10-3,099.20-971.82

Finding the Fourth Proportional to 2,069.10, 3,099.20 and 971.82

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Solution

The fourth proportional to 2,069.10, 3,099.20 and 971.82 is: 1,455.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.10 : 3,099.20 = 971.82 : x
  2. Step 2: Convert to fraction form
    2,069.10/3,099.20 = 971.82/x
  3. Step 3: Cross multiply
    2,069.10x = 3,099.20 × 971.82
  4. Step 4: Simplify right side
    2,069.10x = 3,011,859.68
  5. Step 5: Solve for x
    x = 3,011,859.68/2,069.10
  6. Step 6: Final answer
    x = 1,455.64

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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.