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Finding the Fourth Proportional to 14,491.22, 21,742.29 and 5,130.86

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Solution

The fourth proportional to 14,491.22, 21,742.29 and 5,130.86 is: 7,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.22 : 21,742.29 = 5,130.86 : x
  2. Step 2: Convert to fraction form
    14,491.22/21,742.29 = 5,130.86/x
  3. Step 3: Cross multiply
    14,491.22x = 21,742.29 × 5,130.86
  4. Step 4: Simplify right side
    14,491.22x = 111,556,537.36
  5. Step 5: Solve for x
    x = 111,556,537.36/14,491.22
  6. Step 6: Final answer
    x = 7,698.22

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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.