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Finding the Fourth Proportional to 14,448, 19,938.24 and 7,824

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Solution

The fourth proportional to 14,448, 19,938.24 and 7,824 is: 10,797.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448 : 19,938.24 = 7,824 : x
  2. Step 2: Convert to fraction form
    14,448/19,938.24 = 7,824/x
  3. Step 3: Cross multiply
    14,448x = 19,938.24 × 7,824
  4. Step 4: Simplify right side
    14,448x = 155,996,789.76
  5. Step 5: Solve for x
    x = 155,996,789.76/14,448
  6. Step 6: Final answer
    x = 10,797.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.