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Finding the Fourth Proportional to 10,838.80, 16,239.30 and 4,983.40

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Solution

The fourth proportional to 10,838.80, 16,239.30 and 4,983.40 is: 7,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.80 : 16,239.30 = 4,983.40 : x
  2. Step 2: Convert to fraction form
    10,838.80/16,239.30 = 4,983.40/x
  3. Step 3: Cross multiply
    10,838.80x = 16,239.30 × 4,983.40
  4. Step 4: Simplify right side
    10,838.80x = 80,926,927.62
  5. Step 5: Solve for x
    x = 80,926,927.62/10,838.80
  6. Step 6: Final answer
    x = 7,466.41

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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.