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Finding the Fourth Proportional to 30,266.42, 45,406.91 and 9,489.92

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Solution

The fourth proportional to 30,266.42, 45,406.91 and 9,489.92 is: 14,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266.42 : 45,406.91 = 9,489.92 : x
  2. Step 2: Convert to fraction form
    30,266.42/45,406.91 = 9,489.92/x
  3. Step 3: Cross multiply
    30,266.42x = 45,406.91 × 9,489.92
  4. Step 4: Simplify right side
    30,266.42x = 430,907,943.35
  5. Step 5: Solve for x
    x = 430,907,943.35/30,266.42
  6. Step 6: Final answer
    x = 14,237.16

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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.