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Finding the Fourth Proportional to 7,104.11, 9,800.52 and 4,978.86

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Solution

The fourth proportional to 7,104.11, 9,800.52 and 4,978.86 is: 6,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.11 : 9,800.52 = 4,978.86 : x
  2. Step 2: Convert to fraction form
    7,104.11/9,800.52 = 4,978.86/x
  3. Step 3: Cross multiply
    7,104.11x = 9,800.52 × 4,978.86
  4. Step 4: Simplify right side
    7,104.11x = 48,795,417.01
  5. Step 5: Solve for x
    x = 48,795,417.01/7,104.11
  6. Step 6: Final answer
    x = 6,868.62

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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.