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Finding the Fourth Proportional to 3,057.47, 4,584.83 and 865.68

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Solution

The fourth proportional to 3,057.47, 4,584.83 and 865.68 is: 1,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.47 : 4,584.83 = 865.68 : x
  2. Step 2: Convert to fraction form
    3,057.47/4,584.83 = 865.68/x
  3. Step 3: Cross multiply
    3,057.47x = 4,584.83 × 865.68
  4. Step 4: Simplify right side
    3,057.47x = 3,968,995.63
  5. Step 5: Solve for x
    x = 3,968,995.63/3,057.47
  6. Step 6: Final answer
    x = 1,298.13

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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.