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Finding the Fourth Proportional to 5,272.84, 7,903.86 and 1,983.64

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Solution

The fourth proportional to 5,272.84, 7,903.86 and 1,983.64 is: 2,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.84 : 7,903.86 = 1,983.64 : x
  2. Step 2: Convert to fraction form
    5,272.84/7,903.86 = 1,983.64/x
  3. Step 3: Cross multiply
    5,272.84x = 7,903.86 × 1,983.64
  4. Step 4: Simplify right side
    5,272.84x = 15,678,412.85
  5. Step 5: Solve for x
    x = 15,678,412.85/5,272.84
  6. Step 6: Final answer
    x = 2,973.43

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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.