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Finding the Fourth Proportional to 3,762.64, 5,642.36 and 1,539.94

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Solution

The fourth proportional to 3,762.64, 5,642.36 and 1,539.94 is: 2,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.64 : 5,642.36 = 1,539.94 : x
  2. Step 2: Convert to fraction form
    3,762.64/5,642.36 = 1,539.94/x
  3. Step 3: Cross multiply
    3,762.64x = 5,642.36 × 1,539.94
  4. Step 4: Simplify right side
    3,762.64x = 8,688,874.54
  5. Step 5: Solve for x
    x = 8,688,874.54/3,762.64
  6. Step 6: Final answer
    x = 2,309.25

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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.