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Finding the Fourth Proportional to 2,415.10, 3,620.49 and 1,259.50

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Solution

The fourth proportional to 2,415.10, 3,620.49 and 1,259.50 is: 1,888.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.10 : 3,620.49 = 1,259.50 : x
  2. Step 2: Convert to fraction form
    2,415.10/3,620.49 = 1,259.50/x
  3. Step 3: Cross multiply
    2,415.10x = 3,620.49 × 1,259.50
  4. Step 4: Simplify right side
    2,415.10x = 4,560,007.16
  5. Step 5: Solve for x
    x = 4,560,007.16/2,415.10
  6. Step 6: Final answer
    x = 1,888.12

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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.