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Finding the Fourth Proportional to 14,155, 21,235.74 and 4,921

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Solution

The fourth proportional to 14,155, 21,235.74 and 4,921 is: 7,382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,155 : 21,235.74 = 4,921 : x
  2. Step 2: Convert to fraction form
    14,155/21,235.74 = 4,921/x
  3. Step 3: Cross multiply
    14,155x = 21,235.74 × 4,921
  4. Step 4: Simplify right side
    14,155x = 104,501,076.54
  5. Step 5: Solve for x
    x = 104,501,076.54/14,155
  6. Step 6: Final answer
    x = 7,382.63

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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.