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Finding the Fourth Proportional to 4,743.07, 6,544.12 and 3,064.54

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Solution

The fourth proportional to 4,743.07, 6,544.12 and 3,064.54 is: 4,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.07 : 6,544.12 = 3,064.54 : x
  2. Step 2: Convert to fraction form
    4,743.07/6,544.12 = 3,064.54/x
  3. Step 3: Cross multiply
    4,743.07x = 6,544.12 × 3,064.54
  4. Step 4: Simplify right side
    4,743.07x = 20,054,717.50
  5. Step 5: Solve for x
    x = 20,054,717.50/4,743.07
  6. Step 6: Final answer
    x = 4,228.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.