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Finding the Fourth Proportional to 7,102, 9,800.76 and 4,158

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Solution

The fourth proportional to 7,102, 9,800.76 and 4,158 is: 5,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102 : 9,800.76 = 4,158 : x
  2. Step 2: Convert to fraction form
    7,102/9,800.76 = 4,158/x
  3. Step 3: Cross multiply
    7,102x = 9,800.76 × 4,158
  4. Step 4: Simplify right side
    7,102x = 40,751,560.08
  5. Step 5: Solve for x
    x = 40,751,560.08/7,102
  6. Step 6: Final answer
    x = 5,738.04

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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.