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Finding the Fourth Proportional to 13,808.16, 20,700.99 and 6,417.27

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Solution

The fourth proportional to 13,808.16, 20,700.99 and 6,417.27 is: 9,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.16 : 20,700.99 = 6,417.27 : x
  2. Step 2: Convert to fraction form
    13,808.16/20,700.99 = 6,417.27/x
  3. Step 3: Cross multiply
    13,808.16x = 20,700.99 × 6,417.27
  4. Step 4: Simplify right side
    13,808.16x = 132,843,842.10
  5. Step 5: Solve for x
    x = 132,843,842.10/13,808.16
  6. Step 6: Final answer
    x = 9,620.68

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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.