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Finding the Fourth Proportional to 5,921.65, 8,831 and 5,842.20

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Solution

The fourth proportional to 5,921.65, 8,831 and 5,842.20 is: 8,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.65 : 8,831 = 5,842.20 : x
  2. Step 2: Convert to fraction form
    5,921.65/8,831 = 5,842.20/x
  3. Step 3: Cross multiply
    5,921.65x = 8,831 × 5,842.20
  4. Step 4: Simplify right side
    5,921.65x = 51,592,468.20
  5. Step 5: Solve for x
    x = 51,592,468.20/5,921.65
  6. Step 6: Final answer
    x = 8,712.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.