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Finding the Fourth Proportional to 30,321.20, 45,477.48 and 9,542

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Solution

The fourth proportional to 30,321.20, 45,477.48 and 9,542 is: 14,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,321.20 : 45,477.48 = 9,542 : x
  2. Step 2: Convert to fraction form
    30,321.20/45,477.48 = 9,542/x
  3. Step 3: Cross multiply
    30,321.20x = 45,477.48 × 9,542
  4. Step 4: Simplify right side
    30,321.20x = 433,946,114.16
  5. Step 5: Solve for x
    x = 433,946,114.16/30,321.20
  6. Step 6: Final answer
    x = 14,311.64

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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.