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Finding the Fourth Proportional to 5,357.40, 8,036.97 and 1,658.76

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Solution

The fourth proportional to 5,357.40, 8,036.97 and 1,658.76 is: 2,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.40 : 8,036.97 = 1,658.76 : x
  2. Step 2: Convert to fraction form
    5,357.40/8,036.97 = 1,658.76/x
  3. Step 3: Cross multiply
    5,357.40x = 8,036.97 × 1,658.76
  4. Step 4: Simplify right side
    5,357.40x = 13,331,404.36
  5. Step 5: Solve for x
    x = 13,331,404.36/5,357.40
  6. Step 6: Final answer
    x = 2,488.41

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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.