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Finding the Fourth Proportional to 6,503.93, 8,974.83 and 3,985.54

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Solution

The fourth proportional to 6,503.93, 8,974.83 and 3,985.54 is: 5,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.93 : 8,974.83 = 3,985.54 : x
  2. Step 2: Convert to fraction form
    6,503.93/8,974.83 = 3,985.54/x
  3. Step 3: Cross multiply
    6,503.93x = 8,974.83 × 3,985.54
  4. Step 4: Simplify right side
    6,503.93x = 35,769,536.47
  5. Step 5: Solve for x
    x = 35,769,536.47/6,503.93
  6. Step 6: Final answer
    x = 5,499.68

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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.