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Finding the Fourth Proportional to 7,978.05, 11,011.01 and 4,835.79

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Solution

The fourth proportional to 7,978.05, 11,011.01 and 4,835.79 is: 6,674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.05 : 11,011.01 = 4,835.79 : x
  2. Step 2: Convert to fraction form
    7,978.05/11,011.01 = 4,835.79/x
  3. Step 3: Cross multiply
    7,978.05x = 11,011.01 × 4,835.79
  4. Step 4: Simplify right side
    7,978.05x = 53,246,907.87
  5. Step 5: Solve for x
    x = 53,246,907.87/7,978.05
  6. Step 6: Final answer
    x = 6,674.18

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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.