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Finding the Fourth Proportional to 5,356.48, 8,036 and 1,658.88

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Solution

The fourth proportional to 5,356.48, 8,036 and 1,658.88 is: 2,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.48 : 8,036 = 1,658.88 : x
  2. Step 2: Convert to fraction form
    5,356.48/8,036 = 1,658.88/x
  3. Step 3: Cross multiply
    5,356.48x = 8,036 × 1,658.88
  4. Step 4: Simplify right side
    5,356.48x = 13,330,759.68
  5. Step 5: Solve for x
    x = 13,330,759.68/5,356.48
  6. Step 6: Final answer
    x = 2,488.72

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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.