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Finding the Fourth Proportional to 7,772.42, 10,729.05 and 4,628

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Solution

The fourth proportional to 7,772.42, 10,729.05 and 4,628 is: 6,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.42 : 10,729.05 = 4,628 : x
  2. Step 2: Convert to fraction form
    7,772.42/10,729.05 = 4,628/x
  3. Step 3: Cross multiply
    7,772.42x = 10,729.05 × 4,628
  4. Step 4: Simplify right side
    7,772.42x = 49,654,043.40
  5. Step 5: Solve for x
    x = 49,654,043.40/7,772.42
  6. Step 6: Final answer
    x = 6,388.49

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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.