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Finding the Fourth Proportional to 3,610, 5,415.30 and 1,012.96

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Solution

The fourth proportional to 3,610, 5,415.30 and 1,012.96 is: 1,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610 : 5,415.30 = 1,012.96 : x
  2. Step 2: Convert to fraction form
    3,610/5,415.30 = 1,012.96/x
  3. Step 3: Cross multiply
    3,610x = 5,415.30 × 1,012.96
  4. Step 4: Simplify right side
    3,610x = 5,485,482.29
  5. Step 5: Solve for x
    x = 5,485,482.29/3,610
  6. Step 6: Final answer
    x = 1,519.52

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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.