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Finding the Fourth Proportional to 1,777.63, 2,658.21 and 1,583.77

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Solution

The fourth proportional to 1,777.63, 2,658.21 and 1,583.77 is: 2,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.63 : 2,658.21 = 1,583.77 : x
  2. Step 2: Convert to fraction form
    1,777.63/2,658.21 = 1,583.77/x
  3. Step 3: Cross multiply
    1,777.63x = 2,658.21 × 1,583.77
  4. Step 4: Simplify right side
    1,777.63x = 4,209,993.25
  5. Step 5: Solve for x
    x = 4,209,993.25/1,777.63
  6. Step 6: Final answer
    x = 2,368.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.