Home / 2,823.84-3,896.91-1,564.98

Finding the Fourth Proportional to 2,823.84, 3,896.91 and 1,564.98

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Solution

The fourth proportional to 2,823.84, 3,896.91 and 1,564.98 is: 2,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.84 : 3,896.91 = 1,564.98 : x
  2. Step 2: Convert to fraction form
    2,823.84/3,896.91 = 1,564.98/x
  3. Step 3: Cross multiply
    2,823.84x = 3,896.91 × 1,564.98
  4. Step 4: Simplify right side
    2,823.84x = 6,098,586.21
  5. Step 5: Solve for x
    x = 6,098,586.21/2,823.84
  6. Step 6: Final answer
    x = 2,159.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.