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Finding the Fourth Proportional to 2,938.12, 4,407.64 and 989.68

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Solution

The fourth proportional to 2,938.12, 4,407.64 and 989.68 is: 1,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.12 : 4,407.64 = 989.68 : x
  2. Step 2: Convert to fraction form
    2,938.12/4,407.64 = 989.68/x
  3. Step 3: Cross multiply
    2,938.12x = 4,407.64 × 989.68
  4. Step 4: Simplify right side
    2,938.12x = 4,362,153.16
  5. Step 5: Solve for x
    x = 4,362,153.16/2,938.12
  6. Step 6: Final answer
    x = 1,484.67

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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.