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Finding the Fourth Proportional to 14,191, 21,286.86 and 4,957

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Solution

The fourth proportional to 14,191, 21,286.86 and 4,957 is: 7,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191 : 21,286.86 = 4,957 : x
  2. Step 2: Convert to fraction form
    14,191/21,286.86 = 4,957/x
  3. Step 3: Cross multiply
    14,191x = 21,286.86 × 4,957
  4. Step 4: Simplify right side
    14,191x = 105,518,965.02
  5. Step 5: Solve for x
    x = 105,518,965.02/14,191
  6. Step 6: Final answer
    x = 7,435.63

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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.