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Finding the Fourth Proportional to 4,748.49, 7,128.90 and 3,653.64

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Solution

The fourth proportional to 4,748.49, 7,128.90 and 3,653.64 is: 5,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.49 : 7,128.90 = 3,653.64 : x
  2. Step 2: Convert to fraction form
    4,748.49/7,128.90 = 3,653.64/x
  3. Step 3: Cross multiply
    4,748.49x = 7,128.90 × 3,653.64
  4. Step 4: Simplify right side
    4,748.49x = 26,046,434.20
  5. Step 5: Solve for x
    x = 26,046,434.20/4,748.49
  6. Step 6: Final answer
    x = 5,485.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.