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Finding the Fourth Proportional to 2,529.58, 3,794.38 and 989.50

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Solution

The fourth proportional to 2,529.58, 3,794.38 and 989.50 is: 1,484.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.58 : 3,794.38 = 989.50 : x
  2. Step 2: Convert to fraction form
    2,529.58/3,794.38 = 989.50/x
  3. Step 3: Cross multiply
    2,529.58x = 3,794.38 × 989.50
  4. Step 4: Simplify right side
    2,529.58x = 3,754,539.01
  5. Step 5: Solve for x
    x = 3,754,539.01/2,529.58
  6. Step 6: Final answer
    x = 1,484.25

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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.