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Finding the Fourth Proportional to 3,015, 4,159.54 and 1,895.48

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Solution

The fourth proportional to 3,015, 4,159.54 and 1,895.48 is: 2,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015 : 4,159.54 = 1,895.48 : x
  2. Step 2: Convert to fraction form
    3,015/4,159.54 = 1,895.48/x
  3. Step 3: Cross multiply
    3,015x = 4,159.54 × 1,895.48
  4. Step 4: Simplify right side
    3,015x = 7,884,324.88
  5. Step 5: Solve for x
    x = 7,884,324.88/3,015
  6. Step 6: Final answer
    x = 2,615.03

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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.