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Finding the Fourth Proportional to 6,262.50, 9,394.02 and 1,645.50

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Solution

The fourth proportional to 6,262.50, 9,394.02 and 1,645.50 is: 2,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.50 : 9,394.02 = 1,645.50 : x
  2. Step 2: Convert to fraction form
    6,262.50/9,394.02 = 1,645.50/x
  3. Step 3: Cross multiply
    6,262.50x = 9,394.02 × 1,645.50
  4. Step 4: Simplify right side
    6,262.50x = 15,457,859.91
  5. Step 5: Solve for x
    x = 15,457,859.91/6,262.50
  6. Step 6: Final answer
    x = 2,468.32

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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.