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Finding the Fourth Proportional to 7,638.63, 11,458.01 and 3,021.63

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Solution

The fourth proportional to 7,638.63, 11,458.01 and 3,021.63 is: 4,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.63 : 11,458.01 = 3,021.63 : x
  2. Step 2: Convert to fraction form
    7,638.63/11,458.01 = 3,021.63/x
  3. Step 3: Cross multiply
    7,638.63x = 11,458.01 × 3,021.63
  4. Step 4: Simplify right side
    7,638.63x = 34,621,866.76
  5. Step 5: Solve for x
    x = 34,621,866.76/7,638.63
  6. Step 6: Final answer
    x = 4,532.47

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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.