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Finding the Fourth Proportional to 1,975.21, 2,960.75 and 804.71

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Solution

The fourth proportional to 1,975.21, 2,960.75 and 804.71 is: 1,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.21 : 2,960.75 = 804.71 : x
  2. Step 2: Convert to fraction form
    1,975.21/2,960.75 = 804.71/x
  3. Step 3: Cross multiply
    1,975.21x = 2,960.75 × 804.71
  4. Step 4: Simplify right side
    1,975.21x = 2,382,545.13
  5. Step 5: Solve for x
    x = 2,382,545.13/1,975.21
  6. Step 6: Final answer
    x = 1,206.22

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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.