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Finding the Fourth Proportional to 6,328.80, 9,492.54 and 1,945.86

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Solution

The fourth proportional to 6,328.80, 9,492.54 and 1,945.86 is: 2,918.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.80 : 9,492.54 = 1,945.86 : x
  2. Step 2: Convert to fraction form
    6,328.80/9,492.54 = 1,945.86/x
  3. Step 3: Cross multiply
    6,328.80x = 9,492.54 × 1,945.86
  4. Step 4: Simplify right side
    6,328.80x = 18,471,153.88
  5. Step 5: Solve for x
    x = 18,471,153.88/6,328.80
  6. Step 6: Final answer
    x = 2,918.59

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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.