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Finding the Fourth Proportional to 3,070, 4,234.71 and 2,187.01

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Solution

The fourth proportional to 3,070, 4,234.71 and 2,187.01 is: 3,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070 : 4,234.71 = 2,187.01 : x
  2. Step 2: Convert to fraction form
    3,070/4,234.71 = 2,187.01/x
  3. Step 3: Cross multiply
    3,070x = 4,234.71 × 2,187.01
  4. Step 4: Simplify right side
    3,070x = 9,261,353.12
  5. Step 5: Solve for x
    x = 9,261,353.12/3,070
  6. Step 6: Final answer
    x = 3,016.73

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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.