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Finding the Fourth Proportional to 7,635, 10,536.94 and 4,278.60

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Solution

The fourth proportional to 7,635, 10,536.94 and 4,278.60 is: 5,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635 : 10,536.94 = 4,278.60 : x
  2. Step 2: Convert to fraction form
    7,635/10,536.94 = 4,278.60/x
  3. Step 3: Cross multiply
    7,635x = 10,536.94 × 4,278.60
  4. Step 4: Simplify right side
    7,635x = 45,083,351.48
  5. Step 5: Solve for x
    x = 45,083,351.48/7,635
  6. Step 6: Final answer
    x = 5,904.83

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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.