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Finding the Fourth Proportional to 1,795, 2,477.90 and 1,264.36

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Solution

The fourth proportional to 1,795, 2,477.90 and 1,264.36 is: 1,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795 : 2,477.90 = 1,264.36 : x
  2. Step 2: Convert to fraction form
    1,795/2,477.90 = 1,264.36/x
  3. Step 3: Cross multiply
    1,795x = 2,477.90 × 1,264.36
  4. Step 4: Simplify right side
    1,795x = 3,132,957.64
  5. Step 5: Solve for x
    x = 3,132,957.64/1,795
  6. Step 6: Final answer
    x = 1,745.38

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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.