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Finding the Fourth Proportional to 2,835, 4,253.70 and 2,018.52

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Solution

The fourth proportional to 2,835, 4,253.70 and 2,018.52 is: 3,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835 : 4,253.70 = 2,018.52 : x
  2. Step 2: Convert to fraction form
    2,835/4,253.70 = 2,018.52/x
  3. Step 3: Cross multiply
    2,835x = 4,253.70 × 2,018.52
  4. Step 4: Simplify right side
    2,835x = 8,586,178.52
  5. Step 5: Solve for x
    x = 8,586,178.52/2,835
  6. Step 6: Final answer
    x = 3,028.63

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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.