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Finding the Fourth Proportional to 5,658.81, 8,488.68 and 1,959.54

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Solution

The fourth proportional to 5,658.81, 8,488.68 and 1,959.54 is: 2,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.81 : 8,488.68 = 1,959.54 : x
  2. Step 2: Convert to fraction form
    5,658.81/8,488.68 = 1,959.54/x
  3. Step 3: Cross multiply
    5,658.81x = 8,488.68 × 1,959.54
  4. Step 4: Simplify right side
    5,658.81x = 16,633,908.01
  5. Step 5: Solve for x
    x = 16,633,908.01/5,658.81
  6. Step 6: Final answer
    x = 2,939.47

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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.