Home / 13,784.49-19,023.02-7,816.41

Finding the Fourth Proportional to 13,784.49, 19,023.02 and 7,816.41

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Solution

The fourth proportional to 13,784.49, 19,023.02 and 7,816.41 is: 10,786.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.49 : 19,023.02 = 7,816.41 : x
  2. Step 2: Convert to fraction form
    13,784.49/19,023.02 = 7,816.41/x
  3. Step 3: Cross multiply
    13,784.49x = 19,023.02 × 7,816.41
  4. Step 4: Simplify right side
    13,784.49x = 148,691,723.76
  5. Step 5: Solve for x
    x = 148,691,723.76/13,784.49
  6. Step 6: Final answer
    x = 10,786.89

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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.