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Finding the Fourth Proportional to 28,253.67, 42,399.90 and 9,785.67

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Solution

The fourth proportional to 28,253.67, 42,399.90 and 9,785.67 is: 14,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,253.67 : 42,399.90 = 9,785.67 : x
  2. Step 2: Convert to fraction form
    28,253.67/42,399.90 = 9,785.67/x
  3. Step 3: Cross multiply
    28,253.67x = 42,399.90 × 9,785.67
  4. Step 4: Simplify right side
    28,253.67x = 414,911,429.43
  5. Step 5: Solve for x
    x = 414,911,429.43/28,253.67
  6. Step 6: Final answer
    x = 14,685.22

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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.