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Finding the Fourth Proportional to 4,743.63, 7,122.74 and 4,228.47

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Solution

The fourth proportional to 4,743.63, 7,122.74 and 4,228.47 is: 6,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.63 : 7,122.74 = 4,228.47 : x
  2. Step 2: Convert to fraction form
    4,743.63/7,122.74 = 4,228.47/x
  3. Step 3: Cross multiply
    4,743.63x = 7,122.74 × 4,228.47
  4. Step 4: Simplify right side
    4,743.63x = 30,118,271.27
  5. Step 5: Solve for x
    x = 30,118,271.27/4,743.63
  6. Step 6: Final answer
    x = 6,349.20

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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.