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Finding the Fourth Proportional to 7,225, 9,970.52 and 3,913

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Solution

The fourth proportional to 7,225, 9,970.52 and 3,913 is: 5,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225 : 9,970.52 = 3,913 : x
  2. Step 2: Convert to fraction form
    7,225/9,970.52 = 3,913/x
  3. Step 3: Cross multiply
    7,225x = 9,970.52 × 3,913
  4. Step 4: Simplify right side
    7,225x = 39,014,644.76
  5. Step 5: Solve for x
    x = 39,014,644.76/7,225
  6. Step 6: Final answer
    x = 5,399.95

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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.