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Finding the Fourth Proportional to 13,762.16, 20,643.24 and 3,901.52

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Solution

The fourth proportional to 13,762.16, 20,643.24 and 3,901.52 is: 5,852.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.16 : 20,643.24 = 3,901.52 : x
  2. Step 2: Convert to fraction form
    13,762.16/20,643.24 = 3,901.52/x
  3. Step 3: Cross multiply
    13,762.16x = 20,643.24 × 3,901.52
  4. Step 4: Simplify right side
    13,762.16x = 80,540,013.72
  5. Step 5: Solve for x
    x = 80,540,013.72/13,762.16
  6. Step 6: Final answer
    x = 5,852.28

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