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Finding the Fourth Proportional to 9,625, 14,437.50 and 2,329

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Solution

The fourth proportional to 9,625, 14,437.50 and 2,329 is: 3,493.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625 : 14,437.50 = 2,329 : x
  2. Step 2: Convert to fraction form
    9,625/14,437.50 = 2,329/x
  3. Step 3: Cross multiply
    9,625x = 14,437.50 × 2,329
  4. Step 4: Simplify right side
    9,625x = 33,624,937.50
  5. Step 5: Solve for x
    x = 33,624,937.50/9,625
  6. Step 6: Final answer
    x = 3,493.50

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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.