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Finding the Fourth Proportional to 14,300.10, 21,428.22 and 6,499.80

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Solution

The fourth proportional to 14,300.10, 21,428.22 and 6,499.80 is: 9,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300.10 : 21,428.22 = 6,499.80 : x
  2. Step 2: Convert to fraction form
    14,300.10/21,428.22 = 6,499.80/x
  3. Step 3: Cross multiply
    14,300.10x = 21,428.22 × 6,499.80
  4. Step 4: Simplify right side
    14,300.10x = 139,279,144.36
  5. Step 5: Solve for x
    x = 139,279,144.36/14,300.10
  6. Step 6: Final answer
    x = 9,739.73

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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.