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Finding the Fourth Proportional to 3,568.70, 5,353.02 and 971.60

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Solution

The fourth proportional to 3,568.70, 5,353.02 and 971.60 is: 1,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.70 : 5,353.02 = 971.60 : x
  2. Step 2: Convert to fraction form
    3,568.70/5,353.02 = 971.60/x
  3. Step 3: Cross multiply
    3,568.70x = 5,353.02 × 971.60
  4. Step 4: Simplify right side
    3,568.70x = 5,200,994.23
  5. Step 5: Solve for x
    x = 5,200,994.23/3,568.70
  6. Step 6: Final answer
    x = 1,457.39

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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.