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Finding the Fourth Proportional to 3,070, 4,236.62 and 1,672.80

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Solution

The fourth proportional to 3,070, 4,236.62 and 1,672.80 is: 2,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070 : 4,236.62 = 1,672.80 : x
  2. Step 2: Convert to fraction form
    3,070/4,236.62 = 1,672.80/x
  3. Step 3: Cross multiply
    3,070x = 4,236.62 × 1,672.80
  4. Step 4: Simplify right side
    3,070x = 7,087,017.94
  5. Step 5: Solve for x
    x = 7,087,017.94/3,070
  6. Step 6: Final answer
    x = 2,308.47

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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.