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Finding the Fourth Proportional to 6,354.24, 8,765.28 and 4,488

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Solution

The fourth proportional to 6,354.24, 8,765.28 and 4,488 is: 6,190.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.24 : 8,765.28 = 4,488 : x
  2. Step 2: Convert to fraction form
    6,354.24/8,765.28 = 4,488/x
  3. Step 3: Cross multiply
    6,354.24x = 8,765.28 × 4,488
  4. Step 4: Simplify right side
    6,354.24x = 39,338,576.64
  5. Step 5: Solve for x
    x = 39,338,576.64/6,354.24
  6. Step 6: Final answer
    x = 6,190.92

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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.