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Finding the Fourth Proportional to 2,707.50, 4,040.30 and 2,415.90

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Solution

The fourth proportional to 2,707.50, 4,040.30 and 2,415.90 is: 3,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.50 : 4,040.30 = 2,415.90 : x
  2. Step 2: Convert to fraction form
    2,707.50/4,040.30 = 2,415.90/x
  3. Step 3: Cross multiply
    2,707.50x = 4,040.30 × 2,415.90
  4. Step 4: Simplify right side
    2,707.50x = 9,760,960.77
  5. Step 5: Solve for x
    x = 9,760,960.77/2,707.50
  6. Step 6: Final answer
    x = 3,605.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.