Home / 2,819.14-4,228.82-971.53

Finding the Fourth Proportional to 2,819.14, 4,228.82 and 971.53

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Solution

The fourth proportional to 2,819.14, 4,228.82 and 971.53 is: 1,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.14 : 4,228.82 = 971.53 : x
  2. Step 2: Convert to fraction form
    2,819.14/4,228.82 = 971.53/x
  3. Step 3: Cross multiply
    2,819.14x = 4,228.82 × 971.53
  4. Step 4: Simplify right side
    2,819.14x = 4,108,425.49
  5. Step 5: Solve for x
    x = 4,108,425.49/2,819.14
  6. Step 6: Final answer
    x = 1,457.33

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1.5x scale

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.