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Finding the Fourth Proportional to 2,616.29, 3,921.97 and 972.39

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Solution

The fourth proportional to 2,616.29, 3,921.97 and 972.39 is: 1,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.29 : 3,921.97 = 972.39 : x
  2. Step 2: Convert to fraction form
    2,616.29/3,921.97 = 972.39/x
  3. Step 3: Cross multiply
    2,616.29x = 3,921.97 × 972.39
  4. Step 4: Simplify right side
    2,616.29x = 3,813,684.41
  5. Step 5: Solve for x
    x = 3,813,684.41/2,616.29
  6. Step 6: Final answer
    x = 1,457.67

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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.