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Finding the Fourth Proportional to 2,964.16, 4,444.74 and 989.08

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Solution

The fourth proportional to 2,964.16, 4,444.74 and 989.08 is: 1,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.16 : 4,444.74 = 989.08 : x
  2. Step 2: Convert to fraction form
    2,964.16/4,444.74 = 989.08/x
  3. Step 3: Cross multiply
    2,964.16x = 4,444.74 × 989.08
  4. Step 4: Simplify right side
    2,964.16x = 4,396,203.44
  5. Step 5: Solve for x
    x = 4,396,203.44/2,964.16
  6. Step 6: Final answer
    x = 1,483.12

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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.