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Finding the Fourth Proportional to 14,209, 21,313.86 and 4,975

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Solution

The fourth proportional to 14,209, 21,313.86 and 4,975 is: 7,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209 : 21,313.86 = 4,975 : x
  2. Step 2: Convert to fraction form
    14,209/21,313.86 = 4,975/x
  3. Step 3: Cross multiply
    14,209x = 21,313.86 × 4,975
  4. Step 4: Simplify right side
    14,209x = 106,036,453.50
  5. Step 5: Solve for x
    x = 106,036,453.50/14,209
  6. Step 6: Final answer
    x = 7,462.63

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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.