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Finding the Fourth Proportional to 4,760.42, 7,141.09 and 1,640.00

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Solution

The fourth proportional to 4,760.42, 7,141.09 and 1,640.00 is: 2,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.42 : 7,141.09 = 1,640.00 : x
  2. Step 2: Convert to fraction form
    4,760.42/7,141.09 = 1,640.00/x
  3. Step 3: Cross multiply
    4,760.42x = 7,141.09 × 1,640.00
  4. Step 4: Simplify right side
    4,760.42x = 11,711,401.35
  5. Step 5: Solve for x
    x = 11,711,401.35/4,760.42
  6. Step 6: Final answer
    x = 2,460.16

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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.