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Finding the Fourth Proportional to 30,642.56, 45,962.92 and 8,457.27

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Solution

The fourth proportional to 30,642.56, 45,962.92 and 8,457.27 is: 12,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.56 : 45,962.92 = 8,457.27 : x
  2. Step 2: Convert to fraction form
    30,642.56/45,962.92 = 8,457.27/x
  3. Step 3: Cross multiply
    30,642.56x = 45,962.92 × 8,457.27
  4. Step 4: Simplify right side
    30,642.56x = 388,720,824.43
  5. Step 5: Solve for x
    x = 388,720,824.43/30,642.56
  6. Step 6: Final answer
    x = 12,685.65

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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.