Home / 2,824.40-3,897.48-1,646

Finding the Fourth Proportional to 2,824.40, 3,897.48 and 1,646

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Solution

The fourth proportional to 2,824.40, 3,897.48 and 1,646 is: 2,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.40 : 3,897.48 = 1,646 : x
  2. Step 2: Convert to fraction form
    2,824.40/3,897.48 = 1,646/x
  3. Step 3: Cross multiply
    2,824.40x = 3,897.48 × 1,646
  4. Step 4: Simplify right side
    2,824.40x = 6,415,252.08
  5. Step 5: Solve for x
    x = 6,415,252.08/2,824.40
  6. Step 6: Final answer
    x = 2,271.37

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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.