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Finding the Fourth Proportional to 28,698.82, 43,055.16 and 9,976.14

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Solution

The fourth proportional to 28,698.82, 43,055.16 and 9,976.14 is: 14,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,698.82 : 43,055.16 = 9,976.14 : x
  2. Step 2: Convert to fraction form
    28,698.82/43,055.16 = 9,976.14/x
  3. Step 3: Cross multiply
    28,698.82x = 43,055.16 × 9,976.14
  4. Step 4: Simplify right side
    28,698.82x = 429,524,303.88
  5. Step 5: Solve for x
    x = 429,524,303.88/28,698.82
  6. Step 6: Final answer
    x = 14,966.62

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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.