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Finding the Fourth Proportional to 7,038.96, 10,568.16 and 3,578.64

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Solution

The fourth proportional to 7,038.96, 10,568.16 and 3,578.64 is: 5,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.96 : 10,568.16 = 3,578.64 : x
  2. Step 2: Convert to fraction form
    7,038.96/10,568.16 = 3,578.64/x
  3. Step 3: Cross multiply
    7,038.96x = 10,568.16 × 3,578.64
  4. Step 4: Simplify right side
    7,038.96x = 37,819,640.10
  5. Step 5: Solve for x
    x = 37,819,640.10/7,038.96
  6. Step 6: Final answer
    x = 5,372.90

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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.