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Finding the Fourth Proportional to 2,203.00, 3,038.99 and 1,306.22

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Solution

The fourth proportional to 2,203.00, 3,038.99 and 1,306.22 is: 1,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.00 : 3,038.99 = 1,306.22 : x
  2. Step 2: Convert to fraction form
    2,203.00/3,038.99 = 1,306.22/x
  3. Step 3: Cross multiply
    2,203.00x = 3,038.99 × 1,306.22
  4. Step 4: Simplify right side
    2,203.00x = 3,969,567.79
  5. Step 5: Solve for x
    x = 3,969,567.79/2,203.00
  6. Step 6: Final answer
    x = 1,801.89

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1.5x scale

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.