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Finding the Fourth Proportional to 20,492.88, 30,742 and 7,346.72

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Solution

The fourth proportional to 20,492.88, 30,742 and 7,346.72 is: 11,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.88 : 30,742 = 7,346.72 : x
  2. Step 2: Convert to fraction form
    20,492.88/30,742 = 7,346.72/x
  3. Step 3: Cross multiply
    20,492.88x = 30,742 × 7,346.72
  4. Step 4: Simplify right side
    20,492.88x = 225,852,866.24
  5. Step 5: Solve for x
    x = 225,852,866.24/20,492.88
  6. Step 6: Final answer
    x = 11,021.04

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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.