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Finding the Fourth Proportional to 30,605.44, 45,908.36 and 8,421.16

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Solution

The fourth proportional to 30,605.44, 45,908.36 and 8,421.16 is: 12,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,605.44 : 45,908.36 = 8,421.16 : x
  2. Step 2: Convert to fraction form
    30,605.44/45,908.36 = 8,421.16/x
  3. Step 3: Cross multiply
    30,605.44x = 45,908.36 × 8,421.16
  4. Step 4: Simplify right side
    30,605.44x = 386,601,373.25
  5. Step 5: Solve for x
    x = 386,601,373.25/30,605.44
  6. Step 6: Final answer
    x = 12,631.79

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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.