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Finding the Fourth Proportional to 1,772.58, 2,648.63 and 1,353.69

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Solution

The fourth proportional to 1,772.58, 2,648.63 and 1,353.69 is: 2,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.58 : 2,648.63 = 1,353.69 : x
  2. Step 2: Convert to fraction form
    1,772.58/2,648.63 = 1,353.69/x
  3. Step 3: Cross multiply
    1,772.58x = 2,648.63 × 1,353.69
  4. Step 4: Simplify right side
    1,772.58x = 3,585,417.18
  5. Step 5: Solve for x
    x = 3,585,417.18/1,772.58
  6. Step 6: Final answer
    x = 2,022.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.