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Finding the Fourth Proportional to 14,315.28, 21,483 and 6,419.76

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Solution

The fourth proportional to 14,315.28, 21,483 and 6,419.76 is: 9,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315.28 : 21,483 = 6,419.76 : x
  2. Step 2: Convert to fraction form
    14,315.28/21,483 = 6,419.76/x
  3. Step 3: Cross multiply
    14,315.28x = 21,483 × 6,419.76
  4. Step 4: Simplify right side
    14,315.28x = 137,915,704.08
  5. Step 5: Solve for x
    x = 137,915,704.08/14,315.28
  6. Step 6: Final answer
    x = 9,634.16

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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.