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Finding the Fourth Proportional to 2,615.95, 3,920.28 and 1,965.93

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Solution

The fourth proportional to 2,615.95, 3,920.28 and 1,965.93 is: 2,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.95 : 3,920.28 = 1,965.93 : x
  2. Step 2: Convert to fraction form
    2,615.95/3,920.28 = 1,965.93/x
  3. Step 3: Cross multiply
    2,615.95x = 3,920.28 × 1,965.93
  4. Step 4: Simplify right side
    2,615.95x = 7,706,976.46
  5. Step 5: Solve for x
    x = 7,706,976.46/2,615.95
  6. Step 6: Final answer
    x = 2,946.15

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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.