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Finding the Fourth Proportional to 3,762.21, 5,642.67 and 1,129

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Solution

The fourth proportional to 3,762.21, 5,642.67 and 1,129 is: 1,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.21 : 5,642.67 = 1,129 : x
  2. Step 2: Convert to fraction form
    3,762.21/5,642.67 = 1,129/x
  3. Step 3: Cross multiply
    3,762.21x = 5,642.67 × 1,129
  4. Step 4: Simplify right side
    3,762.21x = 6,370,574.43
  5. Step 5: Solve for x
    x = 6,370,574.43/3,762.21
  6. Step 6: Final answer
    x = 1,693.31

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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.