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Finding the Fourth Proportional to 8,977.57, 12,384.09 and 7,472.72

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Solution

The fourth proportional to 8,977.57, 12,384.09 and 7,472.72 is: 10,308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.57 : 12,384.09 = 7,472.72 : x
  2. Step 2: Convert to fraction form
    8,977.57/12,384.09 = 7,472.72/x
  3. Step 3: Cross multiply
    8,977.57x = 12,384.09 × 7,472.72
  4. Step 4: Simplify right side
    8,977.57x = 92,542,867.99
  5. Step 5: Solve for x
    x = 92,542,867.99/8,977.57
  6. Step 6: Final answer
    x = 10,308.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.