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Finding the Fourth Proportional to 2,632.63, 3,949.71 and 783.80

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Solution

The fourth proportional to 2,632.63, 3,949.71 and 783.80 is: 1,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.63 : 3,949.71 = 783.80 : x
  2. Step 2: Convert to fraction form
    2,632.63/3,949.71 = 783.80/x
  3. Step 3: Cross multiply
    2,632.63x = 3,949.71 × 783.80
  4. Step 4: Simplify right side
    2,632.63x = 3,095,790.34
  5. Step 5: Solve for x
    x = 3,095,790.34/2,632.63
  6. Step 6: Final answer
    x = 1,175.93

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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.