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Finding the Fourth Proportional to 5,385.84, 8,079.72 and 1,922.28

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Solution

The fourth proportional to 5,385.84, 8,079.72 and 1,922.28 is: 2,883.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.84 : 8,079.72 = 1,922.28 : x
  2. Step 2: Convert to fraction form
    5,385.84/8,079.72 = 1,922.28/x
  3. Step 3: Cross multiply
    5,385.84x = 8,079.72 × 1,922.28
  4. Step 4: Simplify right side
    5,385.84x = 15,531,484.16
  5. Step 5: Solve for x
    x = 15,531,484.16/5,385.84
  6. Step 6: Final answer
    x = 2,883.76

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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.