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Finding the Fourth Proportional to 7,790, 10,750.20 and 4,478

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Solution

The fourth proportional to 7,790, 10,750.20 and 4,478 is: 6,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790 : 10,750.20 = 4,478 : x
  2. Step 2: Convert to fraction form
    7,790/10,750.20 = 4,478/x
  3. Step 3: Cross multiply
    7,790x = 10,750.20 × 4,478
  4. Step 4: Simplify right side
    7,790x = 48,139,395.60
  5. Step 5: Solve for x
    x = 48,139,395.60/7,790
  6. Step 6: Final answer
    x = 6,179.64

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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.