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Finding the Fourth Proportional to 5,200.70, 7,801.09 and 1,305.10

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Solution

The fourth proportional to 5,200.70, 7,801.09 and 1,305.10 is: 1,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.70 : 7,801.09 = 1,305.10 : x
  2. Step 2: Convert to fraction form
    5,200.70/7,801.09 = 1,305.10/x
  3. Step 3: Cross multiply
    5,200.70x = 7,801.09 × 1,305.10
  4. Step 4: Simplify right side
    5,200.70x = 10,181,179.79
  5. Step 5: Solve for x
    x = 10,181,179.79/5,200.70
  6. Step 6: Final answer
    x = 1,957.65

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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.