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Finding the Fourth Proportional to 8,730.14, 13,069.96 and 7,828.77

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Solution

The fourth proportional to 8,730.14, 13,069.96 and 7,828.77 is: 11,720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.14 : 13,069.96 = 7,828.77 : x
  2. Step 2: Convert to fraction form
    8,730.14/13,069.96 = 7,828.77/x
  3. Step 3: Cross multiply
    8,730.14x = 13,069.96 × 7,828.77
  4. Step 4: Simplify right side
    8,730.14x = 102,321,710.75
  5. Step 5: Solve for x
    x = 102,321,710.75/8,730.14
  6. Step 6: Final answer
    x = 11,720.51

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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.