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Finding the Fourth Proportional to 10,730.53, 16,095.80 and 3,333

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Solution

The fourth proportional to 10,730.53, 16,095.80 and 3,333 is: 4,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.53 : 16,095.80 = 3,333 : x
  2. Step 2: Convert to fraction form
    10,730.53/16,095.80 = 3,333/x
  3. Step 3: Cross multiply
    10,730.53x = 16,095.80 × 3,333
  4. Step 4: Simplify right side
    10,730.53x = 53,647,284.74
  5. Step 5: Solve for x
    x = 53,647,284.74/10,730.53
  6. Step 6: Final answer
    x = 4,999.50

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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.