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Finding the Fourth Proportional to 13,415.63, 20,114.87 and 4,651.16

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Solution

The fourth proportional to 13,415.63, 20,114.87 and 4,651.16 is: 6,973.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.63 : 20,114.87 = 4,651.16 : x
  2. Step 2: Convert to fraction form
    13,415.63/20,114.87 = 4,651.16/x
  3. Step 3: Cross multiply
    13,415.63x = 20,114.87 × 4,651.16
  4. Step 4: Simplify right side
    13,415.63x = 93,557,354.92
  5. Step 5: Solve for x
    x = 93,557,354.92/13,415.63
  6. Step 6: Final answer
    x = 6,973.76

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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.