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Finding the Fourth Proportional to 3,291.95, 4,925.79 and 1,976.50

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Solution

The fourth proportional to 3,291.95, 4,925.79 and 1,976.50 is: 2,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.95 : 4,925.79 = 1,976.50 : x
  2. Step 2: Convert to fraction form
    3,291.95/4,925.79 = 1,976.50/x
  3. Step 3: Cross multiply
    3,291.95x = 4,925.79 × 1,976.50
  4. Step 4: Simplify right side
    3,291.95x = 9,735,810.68
  5. Step 5: Solve for x
    x = 9,735,810.68/3,291.95
  6. Step 6: Final answer
    x = 2,957.46

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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.