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Finding the Fourth Proportional to 2,071.20, 3,106.86 and 772.80

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Solution

The fourth proportional to 2,071.20, 3,106.86 and 772.80 is: 1,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.20 : 3,106.86 = 772.80 : x
  2. Step 2: Convert to fraction form
    2,071.20/3,106.86 = 772.80/x
  3. Step 3: Cross multiply
    2,071.20x = 3,106.86 × 772.80
  4. Step 4: Simplify right side
    2,071.20x = 2,400,981.41
  5. Step 5: Solve for x
    x = 2,400,981.41/2,071.20
  6. Step 6: Final answer
    x = 1,159.22

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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.