Home / 1,638.88-2,461.60-1,023.68

Finding the Fourth Proportional to 1,638.88, 2,461.60 and 1,023.68

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Solution

The fourth proportional to 1,638.88, 2,461.60 and 1,023.68 is: 1,537.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.88 : 2,461.60 = 1,023.68 : x
  2. Step 2: Convert to fraction form
    1,638.88/2,461.60 = 1,023.68/x
  3. Step 3: Cross multiply
    1,638.88x = 2,461.60 × 1,023.68
  4. Step 4: Simplify right side
    1,638.88x = 2,519,890.69
  5. Step 5: Solve for x
    x = 2,519,890.69/1,638.88
  6. Step 6: Final answer
    x = 1,537.57

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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.