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Finding the Fourth Proportional to 8,523.95, 12,785.93 and 2,975.81

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Solution

The fourth proportional to 8,523.95, 12,785.93 and 2,975.81 is: 4,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.95 : 12,785.93 = 2,975.81 : x
  2. Step 2: Convert to fraction form
    8,523.95/12,785.93 = 2,975.81/x
  3. Step 3: Cross multiply
    8,523.95x = 12,785.93 × 2,975.81
  4. Step 4: Simplify right side
    8,523.95x = 38,048,419.54
  5. Step 5: Solve for x
    x = 38,048,419.54/8,523.95
  6. Step 6: Final answer
    x = 4,463.71

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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.