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Finding the Fourth Proportional to 4,713.99, 7,071 and 1,427.05

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Solution

The fourth proportional to 4,713.99, 7,071 and 1,427.05 is: 2,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.99 : 7,071 = 1,427.05 : x
  2. Step 2: Convert to fraction form
    4,713.99/7,071 = 1,427.05/x
  3. Step 3: Cross multiply
    4,713.99x = 7,071 × 1,427.05
  4. Step 4: Simplify right side
    4,713.99x = 10,090,670.55
  5. Step 5: Solve for x
    x = 10,090,670.55/4,713.99
  6. Step 6: Final answer
    x = 2,140.58

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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.