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Finding the Fourth Proportional to 6,250, 8,625 and 3,455.76

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Solution

The fourth proportional to 6,250, 8,625 and 3,455.76 is: 4,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,250 : 8,625 = 3,455.76 : x
  2. Step 2: Convert to fraction form
    6,250/8,625 = 3,455.76/x
  3. Step 3: Cross multiply
    6,250x = 8,625 × 3,455.76
  4. Step 4: Simplify right side
    6,250x = 29,805,930.00
  5. Step 5: Solve for x
    x = 29,805,930.00/6,250
  6. Step 6: Final answer
    x = 4,768.95

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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.