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Finding the Fourth Proportional to 1,860.85, 2,776.73 and 1,664.21

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Solution

The fourth proportional to 1,860.85, 2,776.73 and 1,664.21 is: 2,483.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.85 : 2,776.73 = 1,664.21 : x
  2. Step 2: Convert to fraction form
    1,860.85/2,776.73 = 1,664.21/x
  3. Step 3: Cross multiply
    1,860.85x = 2,776.73 × 1,664.21
  4. Step 4: Simplify right side
    1,860.85x = 4,621,058.10
  5. Step 5: Solve for x
    x = 4,621,058.10/1,860.85
  6. Step 6: Final answer
    x = 2,483.31

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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.