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Finding the Fourth Proportional to 4,990.96, 7,487 and 4,074.32

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Solution

The fourth proportional to 4,990.96, 7,487 and 4,074.32 is: 6,111.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.96 : 7,487 = 4,074.32 : x
  2. Step 2: Convert to fraction form
    4,990.96/7,487 = 4,074.32/x
  3. Step 3: Cross multiply
    4,990.96x = 7,487 × 4,074.32
  4. Step 4: Simplify right side
    4,990.96x = 30,504,433.84
  5. Step 5: Solve for x
    x = 30,504,433.84/4,990.96
  6. Step 6: Final answer
    x = 6,111.94

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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.