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Finding the Fourth Proportional to 6,999.62, 10,503 and 4,661.28

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Solution

The fourth proportional to 6,999.62, 10,503 and 4,661.28 is: 6,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.62 : 10,503 = 4,661.28 : x
  2. Step 2: Convert to fraction form
    6,999.62/10,503 = 4,661.28/x
  3. Step 3: Cross multiply
    6,999.62x = 10,503 × 4,661.28
  4. Step 4: Simplify right side
    6,999.62x = 48,957,423.84
  5. Step 5: Solve for x
    x = 48,957,423.84/6,999.62
  6. Step 6: Final answer
    x = 6,994.30

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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.