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Finding the Fourth Proportional to 3,705.63, 5,109.44 and 3,076.89

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Solution

The fourth proportional to 3,705.63, 5,109.44 and 3,076.89 is: 4,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.63 : 5,109.44 = 3,076.89 : x
  2. Step 2: Convert to fraction form
    3,705.63/5,109.44 = 3,076.89/x
  3. Step 3: Cross multiply
    3,705.63x = 5,109.44 × 3,076.89
  4. Step 4: Simplify right side
    3,705.63x = 15,721,169.46
  5. Step 5: Solve for x
    x = 15,721,169.46/3,705.63
  6. Step 6: Final answer
    x = 4,242.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.