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Finding the Fourth Proportional to 14,428.46, 21,629.63 and 5,661.02

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Solution

The fourth proportional to 14,428.46, 21,629.63 and 5,661.02 is: 8,486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.46 : 21,629.63 = 5,661.02 : x
  2. Step 2: Convert to fraction form
    14,428.46/21,629.63 = 5,661.02/x
  3. Step 3: Cross multiply
    14,428.46x = 21,629.63 × 5,661.02
  4. Step 4: Simplify right side
    14,428.46x = 122,445,836.25
  5. Step 5: Solve for x
    x = 122,445,836.25/14,428.46
  6. Step 6: Final answer
    x = 8,486.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.