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Finding the Fourth Proportional to 6,515, 8,988.54 and 4,157.90

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Solution

The fourth proportional to 6,515, 8,988.54 and 4,157.90 is: 5,736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515 : 8,988.54 = 4,157.90 : x
  2. Step 2: Convert to fraction form
    6,515/8,988.54 = 4,157.90/x
  3. Step 3: Cross multiply
    6,515x = 8,988.54 × 4,157.90
  4. Step 4: Simplify right side
    6,515x = 37,373,450.47
  5. Step 5: Solve for x
    x = 37,373,450.47/6,515
  6. Step 6: Final answer
    x = 5,736.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.