Home / 2,890.44-3,988.82-1,564.16

Finding the Fourth Proportional to 2,890.44, 3,988.82 and 1,564.16

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Solution

The fourth proportional to 2,890.44, 3,988.82 and 1,564.16 is: 2,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.44 : 3,988.82 = 1,564.16 : x
  2. Step 2: Convert to fraction form
    2,890.44/3,988.82 = 1,564.16/x
  3. Step 3: Cross multiply
    2,890.44x = 3,988.82 × 1,564.16
  4. Step 4: Simplify right side
    2,890.44x = 6,239,124.93
  5. Step 5: Solve for x
    x = 6,239,124.93/2,890.44
  6. Step 6: Final answer
    x = 2,158.54

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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.