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Finding the Fourth Proportional to 14,441, 19,928.64 and 7,817

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Solution

The fourth proportional to 14,441, 19,928.64 and 7,817 is: 10,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,441 : 19,928.64 = 7,817 : x
  2. Step 2: Convert to fraction form
    14,441/19,928.64 = 7,817/x
  3. Step 3: Cross multiply
    14,441x = 19,928.64 × 7,817
  4. Step 4: Simplify right side
    14,441x = 155,782,178.88
  5. Step 5: Solve for x
    x = 155,782,178.88/14,441
  6. Step 6: Final answer
    x = 10,787.49

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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.