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Finding the Fourth Proportional to 5,219.28, 7,827.48 and 1,520.64

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Solution

The fourth proportional to 5,219.28, 7,827.48 and 1,520.64 is: 2,280.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.28 : 7,827.48 = 1,520.64 : x
  2. Step 2: Convert to fraction form
    5,219.28/7,827.48 = 1,520.64/x
  3. Step 3: Cross multiply
    5,219.28x = 7,827.48 × 1,520.64
  4. Step 4: Simplify right side
    5,219.28x = 11,902,779.19
  5. Step 5: Solve for x
    x = 11,902,779.19/5,219.28
  6. Step 6: Final answer
    x = 2,280.54

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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.