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Finding the Fourth Proportional to 1,960.95, 2,941.53 and 728.31

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Solution

The fourth proportional to 1,960.95, 2,941.53 and 728.31 is: 1,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.95 : 2,941.53 = 728.31 : x
  2. Step 2: Convert to fraction form
    1,960.95/2,941.53 = 728.31/x
  3. Step 3: Cross multiply
    1,960.95x = 2,941.53 × 728.31
  4. Step 4: Simplify right side
    1,960.95x = 2,142,345.71
  5. Step 5: Solve for x
    x = 2,142,345.71/1,960.95
  6. Step 6: Final answer
    x = 1,092.50

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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.