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Finding the Fourth Proportional to 30,047.85, 45,068.31 and 7,863.36

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Solution

The fourth proportional to 30,047.85, 45,068.31 and 7,863.36 is: 11,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.85 : 45,068.31 = 7,863.36 : x
  2. Step 2: Convert to fraction form
    30,047.85/45,068.31 = 7,863.36/x
  3. Step 3: Cross multiply
    30,047.85x = 45,068.31 × 7,863.36
  4. Step 4: Simplify right side
    30,047.85x = 354,388,346.12
  5. Step 5: Solve for x
    x = 354,388,346.12/30,047.85
  6. Step 6: Final answer
    x = 11,794.13

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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.