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Finding the Fourth Proportional to 30,520.40, 45,782.42 and 9,462.42

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Solution

The fourth proportional to 30,520.40, 45,782.42 and 9,462.42 is: 14,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,520.40 : 45,782.42 = 9,462.42 : x
  2. Step 2: Convert to fraction form
    30,520.40/45,782.42 = 9,462.42/x
  3. Step 3: Cross multiply
    30,520.40x = 45,782.42 × 9,462.42
  4. Step 4: Simplify right side
    30,520.40x = 433,212,439.34
  5. Step 5: Solve for x
    x = 433,212,439.34/30,520.40
  6. Step 6: Final answer
    x = 14,194.20

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1.5x scale

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.