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Finding the Fourth Proportional to 3,275.76, 4,914.40 and 935.80

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Solution

The fourth proportional to 3,275.76, 4,914.40 and 935.80 is: 1,403.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.76 : 4,914.40 = 935.80 : x
  2. Step 2: Convert to fraction form
    3,275.76/4,914.40 = 935.80/x
  3. Step 3: Cross multiply
    3,275.76x = 4,914.40 × 935.80
  4. Step 4: Simplify right side
    3,275.76x = 4,598,870.95
  5. Step 5: Solve for x
    x = 4,598,870.95/3,275.76
  6. Step 6: Final answer
    x = 1,403.91

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1.5x scale

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.