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Finding the Fourth Proportional to 7,768, 10,720.08 and 4,456

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Solution

The fourth proportional to 7,768, 10,720.08 and 4,456 is: 6,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768 : 10,720.08 = 4,456 : x
  2. Step 2: Convert to fraction form
    7,768/10,720.08 = 4,456/x
  3. Step 3: Cross multiply
    7,768x = 10,720.08 × 4,456
  4. Step 4: Simplify right side
    7,768x = 47,768,676.48
  5. Step 5: Solve for x
    x = 47,768,676.48/7,768
  6. Step 6: Final answer
    x = 6,149.42

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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.