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Finding the Fourth Proportional to 5,490.86, 8,231.96 and 1,980.32

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Solution

The fourth proportional to 5,490.86, 8,231.96 and 1,980.32 is: 2,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.86 : 8,231.96 = 1,980.32 : x
  2. Step 2: Convert to fraction form
    5,490.86/8,231.96 = 1,980.32/x
  3. Step 3: Cross multiply
    5,490.86x = 8,231.96 × 1,980.32
  4. Step 4: Simplify right side
    5,490.86x = 16,301,878.82
  5. Step 5: Solve for x
    x = 16,301,878.82/5,490.86
  6. Step 6: Final answer
    x = 2,968.91

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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.