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Finding the Fourth Proportional to 8,120, 11,205.66 and 4,978.28

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Solution

The fourth proportional to 8,120, 11,205.66 and 4,978.28 is: 6,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120 : 11,205.66 = 4,978.28 : x
  2. Step 2: Convert to fraction form
    8,120/11,205.66 = 4,978.28/x
  3. Step 3: Cross multiply
    8,120x = 11,205.66 × 4,978.28
  4. Step 4: Simplify right side
    8,120x = 55,784,913.06
  5. Step 5: Solve for x
    x = 55,784,913.06/8,120
  6. Step 6: Final answer
    x = 6,870.06

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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.