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Finding the Fourth Proportional to 10,453.30, 15,679.33 and 7,645

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Solution

The fourth proportional to 10,453.30, 15,679.33 and 7,645 is: 11,467.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.30 : 15,679.33 = 7,645 : x
  2. Step 2: Convert to fraction form
    10,453.30/15,679.33 = 7,645/x
  3. Step 3: Cross multiply
    10,453.30x = 15,679.33 × 7,645
  4. Step 4: Simplify right side
    10,453.30x = 119,868,477.85
  5. Step 5: Solve for x
    x = 119,868,477.85/10,453.30
  6. Step 6: Final answer
    x = 11,467.05

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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.