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Finding the Fourth Proportional to 30,398.29, 45,596.90 and 9,621.25

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Solution

The fourth proportional to 30,398.29, 45,596.90 and 9,621.25 is: 14,431.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398.29 : 45,596.90 = 9,621.25 : x
  2. Step 2: Convert to fraction form
    30,398.29/45,596.90 = 9,621.25/x
  3. Step 3: Cross multiply
    30,398.29x = 45,596.90 × 9,621.25
  4. Step 4: Simplify right side
    30,398.29x = 438,699,126.02
  5. Step 5: Solve for x
    x = 438,699,126.02/30,398.29
  6. Step 6: Final answer
    x = 14,431.70

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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.