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Finding the Fourth Proportional to 4,006, 6,009.04 and 1,270

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Solution

The fourth proportional to 4,006, 6,009.04 and 1,270 is: 1,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006 : 6,009.04 = 1,270 : x
  2. Step 2: Convert to fraction form
    4,006/6,009.04 = 1,270/x
  3. Step 3: Cross multiply
    4,006x = 6,009.04 × 1,270
  4. Step 4: Simplify right side
    4,006x = 7,631,480.80
  5. Step 5: Solve for x
    x = 7,631,480.80/4,006
  6. Step 6: Final answer
    x = 1,905.01

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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.