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Finding the Fourth Proportional to 6,469.89, 9,699.90 and 2,957.46

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Solution

The fourth proportional to 6,469.89, 9,699.90 and 2,957.46 is: 4,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.89 : 9,699.90 = 2,957.46 : x
  2. Step 2: Convert to fraction form
    6,469.89/9,699.90 = 2,957.46/x
  3. Step 3: Cross multiply
    6,469.89x = 9,699.90 × 2,957.46
  4. Step 4: Simplify right side
    6,469.89x = 28,687,066.25
  5. Step 5: Solve for x
    x = 28,687,066.25/6,469.89
  6. Step 6: Final answer
    x = 4,433.93

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1.5x scale

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.