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Finding the Fourth Proportional to 5,250, 7,245.72 and 3,386.64

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Solution

The fourth proportional to 5,250, 7,245.72 and 3,386.64 is: 4,674.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250 : 7,245.72 = 3,386.64 : x
  2. Step 2: Convert to fraction form
    5,250/7,245.72 = 3,386.64/x
  3. Step 3: Cross multiply
    5,250x = 7,245.72 × 3,386.64
  4. Step 4: Simplify right side
    5,250x = 24,538,645.18
  5. Step 5: Solve for x
    x = 24,538,645.18/5,250
  6. Step 6: Final answer
    x = 4,674.03

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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.