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Finding the Fourth Proportional to 1,772.36, 2,640.73 and 1,673

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Solution

The fourth proportional to 1,772.36, 2,640.73 and 1,673 is: 2,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.36 : 2,640.73 = 1,673 : x
  2. Step 2: Convert to fraction form
    1,772.36/2,640.73 = 1,673/x
  3. Step 3: Cross multiply
    1,772.36x = 2,640.73 × 1,673
  4. Step 4: Simplify right side
    1,772.36x = 4,417,941.29
  5. Step 5: Solve for x
    x = 4,417,941.29/1,772.36
  6. Step 6: Final answer
    x = 2,492.69

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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.