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Finding the Fourth Proportional to 9,530.50, 14,296.38 and 2,605

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Solution

The fourth proportional to 9,530.50, 14,296.38 and 2,605 is: 3,907.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530.50 : 14,296.38 = 2,605 : x
  2. Step 2: Convert to fraction form
    9,530.50/14,296.38 = 2,605/x
  3. Step 3: Cross multiply
    9,530.50x = 14,296.38 × 2,605
  4. Step 4: Simplify right side
    9,530.50x = 37,242,069.90
  5. Step 5: Solve for x
    x = 37,242,069.90/9,530.50
  6. Step 6: Final answer
    x = 3,907.67

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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.