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Finding the Fourth Proportional to 30,538.22, 45,807.53 and 8,351.10

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Solution

The fourth proportional to 30,538.22, 45,807.53 and 8,351.10 is: 12,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.22 : 45,807.53 = 8,351.10 : x
  2. Step 2: Convert to fraction form
    30,538.22/45,807.53 = 8,351.10/x
  3. Step 3: Cross multiply
    30,538.22x = 45,807.53 × 8,351.10
  4. Step 4: Simplify right side
    30,538.22x = 382,543,222.03
  5. Step 5: Solve for x
    x = 382,543,222.03/30,538.22
  6. Step 6: Final answer
    x = 12,526.71

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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.