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Finding the Fourth Proportional to 14,509.21, 21,756.63 and 5,147.82

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Solution

The fourth proportional to 14,509.21, 21,756.63 and 5,147.82 is: 7,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.21 : 21,756.63 = 5,147.82 : x
  2. Step 2: Convert to fraction form
    14,509.21/21,756.63 = 5,147.82/x
  3. Step 3: Cross multiply
    14,509.21x = 21,756.63 × 5,147.82
  4. Step 4: Simplify right side
    14,509.21x = 111,999,215.05
  5. Step 5: Solve for x
    x = 111,999,215.05/14,509.21
  6. Step 6: Final answer
    x = 7,719.18

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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.