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Finding the Fourth Proportional to 28,206.84, 42,313.86 and 9,478.84

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Solution

The fourth proportional to 28,206.84, 42,313.86 and 9,478.84 is: 14,219.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,206.84 : 42,313.86 = 9,478.84 : x
  2. Step 2: Convert to fraction form
    28,206.84/42,313.86 = 9,478.84/x
  3. Step 3: Cross multiply
    28,206.84x = 42,313.86 × 9,478.84
  4. Step 4: Simplify right side
    28,206.84x = 401,086,308.72
  5. Step 5: Solve for x
    x = 401,086,308.72/28,206.84
  6. Step 6: Final answer
    x = 14,219.47

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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.