Home / 2,823.72-3,897.60-1,829

Finding the Fourth Proportional to 2,823.72, 3,897.60 and 1,829

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Solution

The fourth proportional to 2,823.72, 3,897.60 and 1,829 is: 2,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823.72 : 3,897.60 = 1,829 : x
  2. Step 2: Convert to fraction form
    2,823.72/3,897.60 = 1,829/x
  3. Step 3: Cross multiply
    2,823.72x = 3,897.60 × 1,829
  4. Step 4: Simplify right side
    2,823.72x = 7,128,710.40
  5. Step 5: Solve for x
    x = 7,128,710.40/2,823.72
  6. Step 6: Final answer
    x = 2,524.58

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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.