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Finding the Fourth Proportional to 30,391.13, 45,583.25 and 8,203.20

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Solution

The fourth proportional to 30,391.13, 45,583.25 and 8,203.20 is: 12,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,391.13 : 45,583.25 = 8,203.20 : x
  2. Step 2: Convert to fraction form
    30,391.13/45,583.25 = 8,203.20/x
  3. Step 3: Cross multiply
    30,391.13x = 45,583.25 × 8,203.20
  4. Step 4: Simplify right side
    30,391.13x = 373,928,475.38
  5. Step 5: Solve for x
    x = 373,928,475.38/30,391.13
  6. Step 6: Final answer
    x = 12,303.87

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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.