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Finding the Fourth Proportional to 30,492.72, 45,743.76 and 9,711.36

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Solution

The fourth proportional to 30,492.72, 45,743.76 and 9,711.36 is: 14,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.72 : 45,743.76 = 9,711.36 : x
  2. Step 2: Convert to fraction form
    30,492.72/45,743.76 = 9,711.36/x
  3. Step 3: Cross multiply
    30,492.72x = 45,743.76 × 9,711.36
  4. Step 4: Simplify right side
    30,492.72x = 444,234,121.11
  5. Step 5: Solve for x
    x = 444,234,121.11/30,492.72
  6. Step 6: Final answer
    x = 14,568.53

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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.