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Finding the Fourth Proportional to 4,743.99, 7,117.14 and 2,146.23

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Solution

The fourth proportional to 4,743.99, 7,117.14 and 2,146.23 is: 3,219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.99 : 7,117.14 = 2,146.23 : x
  2. Step 2: Convert to fraction form
    4,743.99/7,117.14 = 2,146.23/x
  3. Step 3: Cross multiply
    4,743.99x = 7,117.14 × 2,146.23
  4. Step 4: Simplify right side
    4,743.99x = 15,275,019.38
  5. Step 5: Solve for x
    x = 15,275,019.38/4,743.99
  6. Step 6: Final answer
    x = 3,219.87

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1.5x scale

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.