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Finding the Fourth Proportional to 10,758.35, 16,142.30 and 5,490.58

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Solution

The fourth proportional to 10,758.35, 16,142.30 and 5,490.58 is: 8,238.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.35 : 16,142.30 = 5,490.58 : x
  2. Step 2: Convert to fraction form
    10,758.35/16,142.30 = 5,490.58/x
  3. Step 3: Cross multiply
    10,758.35x = 16,142.30 × 5,490.58
  4. Step 4: Simplify right side
    10,758.35x = 88,630,558.07
  5. Step 5: Solve for x
    x = 88,630,558.07/10,758.35
  6. Step 6: Final answer
    x = 8,238.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.