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Finding the Fourth Proportional to 7,903.69, 11,838.67 and 5,122.10

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Solution

The fourth proportional to 7,903.69, 11,838.67 and 5,122.10 is: 7,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903.69 : 11,838.67 = 5,122.10 : x
  2. Step 2: Convert to fraction form
    7,903.69/11,838.67 = 5,122.10/x
  3. Step 3: Cross multiply
    7,903.69x = 11,838.67 × 5,122.10
  4. Step 4: Simplify right side
    7,903.69x = 60,638,868.40
  5. Step 5: Solve for x
    x = 60,638,868.40/7,903.69
  6. Step 6: Final answer
    x = 7,672.22

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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.