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Finding the Fourth Proportional to 10,658.70, 15,986.65 and 3,263.90

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Solution

The fourth proportional to 10,658.70, 15,986.65 and 3,263.90 is: 4,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.70 : 15,986.65 = 3,263.90 : x
  2. Step 2: Convert to fraction form
    10,658.70/15,986.65 = 3,263.90/x
  3. Step 3: Cross multiply
    10,658.70x = 15,986.65 × 3,263.90
  4. Step 4: Simplify right side
    10,658.70x = 52,178,826.94
  5. Step 5: Solve for x
    x = 52,178,826.94/10,658.70
  6. Step 6: Final answer
    x = 4,895.42

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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.