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Finding the Fourth Proportional to 28,203.84, 42,309.36 and 9,475.84

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Solution

The fourth proportional to 28,203.84, 42,309.36 and 9,475.84 is: 14,214.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,203.84 : 42,309.36 = 9,475.84 : x
  2. Step 2: Convert to fraction form
    28,203.84/42,309.36 = 9,475.84/x
  3. Step 3: Cross multiply
    28,203.84x = 42,309.36 × 9,475.84
  4. Step 4: Simplify right side
    28,203.84x = 400,916,725.86
  5. Step 5: Solve for x
    x = 400,916,725.86/28,203.84
  6. Step 6: Final answer
    x = 14,214.97

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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.