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Finding the Fourth Proportional to 3,568.83, 5,353.28 and 971.78

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Solution

The fourth proportional to 3,568.83, 5,353.28 and 971.78 is: 1,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.83 : 5,353.28 = 971.78 : x
  2. Step 2: Convert to fraction form
    3,568.83/5,353.28 = 971.78/x
  3. Step 3: Cross multiply
    3,568.83x = 5,353.28 × 971.78
  4. Step 4: Simplify right side
    3,568.83x = 5,202,178.81
  5. Step 5: Solve for x
    x = 5,202,178.81/3,568.83
  6. Step 6: Final answer
    x = 1,457.67

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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.