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Finding the Fourth Proportional to 5,842.38, 8,752.22 and 5,187.90

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Solution

The fourth proportional to 5,842.38, 8,752.22 and 5,187.90 is: 7,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.38 : 8,752.22 = 5,187.90 : x
  2. Step 2: Convert to fraction form
    5,842.38/8,752.22 = 5,187.90/x
  3. Step 3: Cross multiply
    5,842.38x = 8,752.22 × 5,187.90
  4. Step 4: Simplify right side
    5,842.38x = 45,405,642.14
  5. Step 5: Solve for x
    x = 45,405,642.14/5,842.38
  6. Step 6: Final answer
    x = 7,771.77

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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.