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Finding the Fourth Proportional to 3,713.58, 5,117.58 and 3,048.30

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Solution

The fourth proportional to 3,713.58, 5,117.58 and 3,048.30 is: 4,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.58 : 5,117.58 = 3,048.30 : x
  2. Step 2: Convert to fraction form
    3,713.58/5,117.58 = 3,048.30/x
  3. Step 3: Cross multiply
    3,713.58x = 5,117.58 × 3,048.30
  4. Step 4: Simplify right side
    3,713.58x = 15,599,919.11
  5. Step 5: Solve for x
    x = 15,599,919.11/3,713.58
  6. Step 6: Final answer
    x = 4,200.78

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