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Finding the Fourth Proportional to 30,492.03, 45,743.82 and 9,431.22

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Solution

The fourth proportional to 30,492.03, 45,743.82 and 9,431.22 is: 14,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492.03 : 45,743.82 = 9,431.22 : x
  2. Step 2: Convert to fraction form
    30,492.03/45,743.82 = 9,431.22/x
  3. Step 3: Cross multiply
    30,492.03x = 45,743.82 × 9,431.22
  4. Step 4: Simplify right side
    30,492.03x = 431,420,030.06
  5. Step 5: Solve for x
    x = 431,420,030.06/30,492.03
  6. Step 6: Final answer
    x = 14,148.62

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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.