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Finding the Fourth Proportional to 30,495.96, 45,743.94 and 9,721.08

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Solution

The fourth proportional to 30,495.96, 45,743.94 and 9,721.08 is: 14,581.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,495.96 : 45,743.94 = 9,721.08 : x
  2. Step 2: Convert to fraction form
    30,495.96/45,743.94 = 9,721.08/x
  3. Step 3: Cross multiply
    30,495.96x = 45,743.94 × 9,721.08
  4. Step 4: Simplify right side
    30,495.96x = 444,680,500.26
  5. Step 5: Solve for x
    x = 444,680,500.26/30,495.96
  6. Step 6: Final answer
    x = 14,581.62

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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.