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Finding the Fourth Proportional to 30,977.72, 46,466.62 and 8,488.59

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Solution

The fourth proportional to 30,977.72, 46,466.62 and 8,488.59 is: 12,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,977.72 : 46,466.62 = 8,488.59 : x
  2. Step 2: Convert to fraction form
    30,977.72/46,466.62 = 8,488.59/x
  3. Step 3: Cross multiply
    30,977.72x = 46,466.62 × 8,488.59
  4. Step 4: Simplify right side
    30,977.72x = 394,436,043.42
  5. Step 5: Solve for x
    x = 394,436,043.42/30,977.72
  6. Step 6: Final answer
    x = 12,732.89

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1.5x scale

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.