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Finding the Fourth Proportional to 4,983.78, 7,475.84 and 1,286.12

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Solution

The fourth proportional to 4,983.78, 7,475.84 and 1,286.12 is: 1,929.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.78 : 7,475.84 = 1,286.12 : x
  2. Step 2: Convert to fraction form
    4,983.78/7,475.84 = 1,286.12/x
  3. Step 3: Cross multiply
    4,983.78x = 7,475.84 × 1,286.12
  4. Step 4: Simplify right side
    4,983.78x = 9,614,827.34
  5. Step 5: Solve for x
    x = 9,614,827.34/4,983.78
  6. Step 6: Final answer
    x = 1,929.22

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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.