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Finding the Fourth Proportional to 7,118.70, 9,826.05 and 4,133.94

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Solution

The fourth proportional to 7,118.70, 9,826.05 and 4,133.94 is: 5,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.70 : 9,826.05 = 4,133.94 : x
  2. Step 2: Convert to fraction form
    7,118.70/9,826.05 = 4,133.94/x
  3. Step 3: Cross multiply
    7,118.70x = 9,826.05 × 4,133.94
  4. Step 4: Simplify right side
    7,118.70x = 40,620,301.14
  5. Step 5: Solve for x
    x = 40,620,301.14/7,118.70
  6. Step 6: Final answer
    x = 5,706.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.