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Finding the Fourth Proportional to 3,053, 4,213.14 and 1,655.75

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Solution

The fourth proportional to 3,053, 4,213.14 and 1,655.75 is: 2,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053 : 4,213.14 = 1,655.75 : x
  2. Step 2: Convert to fraction form
    3,053/4,213.14 = 1,655.75/x
  3. Step 3: Cross multiply
    3,053x = 4,213.14 × 1,655.75
  4. Step 4: Simplify right side
    3,053x = 6,975,906.56
  5. Step 5: Solve for x
    x = 6,975,906.56/3,053
  6. Step 6: Final answer
    x = 2,284.94

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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.