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Finding the Fourth Proportional to 34,954, 52,429.68 and 8,658.16

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Solution

The fourth proportional to 34,954, 52,429.68 and 8,658.16 is: 12,986.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,954 : 52,429.68 = 8,658.16 : x
  2. Step 2: Convert to fraction form
    34,954/52,429.68 = 8,658.16/x
  3. Step 3: Cross multiply
    34,954x = 52,429.68 × 8,658.16
  4. Step 4: Simplify right side
    34,954x = 453,944,558.19
  5. Step 5: Solve for x
    x = 453,944,558.19/34,954
  6. Step 6: Final answer
    x = 12,986.91

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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.