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Finding the Fourth Proportional to 3,019.24, 4,528.86 and 1,993

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Solution

The fourth proportional to 3,019.24, 4,528.86 and 1,993 is: 2,989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.24 : 4,528.86 = 1,993 : x
  2. Step 2: Convert to fraction form
    3,019.24/4,528.86 = 1,993/x
  3. Step 3: Cross multiply
    3,019.24x = 4,528.86 × 1,993
  4. Step 4: Simplify right side
    3,019.24x = 9,026,017.98
  5. Step 5: Solve for x
    x = 9,026,017.98/3,019.24
  6. Step 6: Final answer
    x = 2,989.50

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Double scale
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Similar ratio
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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.