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Finding the Fourth Proportional to 2,632.34, 3,948.92 and 989.01

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Solution

The fourth proportional to 2,632.34, 3,948.92 and 989.01 is: 1,483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.34 : 3,948.92 = 989.01 : x
  2. Step 2: Convert to fraction form
    2,632.34/3,948.92 = 989.01/x
  3. Step 3: Cross multiply
    2,632.34x = 3,948.92 × 989.01
  4. Step 4: Simplify right side
    2,632.34x = 3,905,496.68
  5. Step 5: Solve for x
    x = 3,905,496.68/2,632.34
  6. Step 6: Final answer
    x = 1,483.66

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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.