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Finding the Fourth Proportional to 5,200.86, 7,801.20 and 1,305.12

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Solution

The fourth proportional to 5,200.86, 7,801.20 and 1,305.12 is: 1,957.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.86 : 7,801.20 = 1,305.12 : x
  2. Step 2: Convert to fraction form
    5,200.86/7,801.20 = 1,305.12/x
  3. Step 3: Cross multiply
    5,200.86x = 7,801.20 × 1,305.12
  4. Step 4: Simplify right side
    5,200.86x = 10,181,502.14
  5. Step 5: Solve for x
    x = 10,181,502.14/5,200.86
  6. Step 6: Final answer
    x = 1,957.66

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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.