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Finding the Fourth Proportional to 3,139.63, 4,709.39 and 767.74

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Solution

The fourth proportional to 3,139.63, 4,709.39 and 767.74 is: 1,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.63 : 4,709.39 = 767.74 : x
  2. Step 2: Convert to fraction form
    3,139.63/4,709.39 = 767.74/x
  3. Step 3: Cross multiply
    3,139.63x = 4,709.39 × 767.74
  4. Step 4: Simplify right side
    3,139.63x = 3,615,587.08
  5. Step 5: Solve for x
    x = 3,615,587.08/3,139.63
  6. Step 6: Final answer
    x = 1,151.60

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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.