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Finding the Fourth Proportional to 8,521.94, 12,785.99 and 2,976.10

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Solution

The fourth proportional to 8,521.94, 12,785.99 and 2,976.10 is: 4,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.94 : 12,785.99 = 2,976.10 : x
  2. Step 2: Convert to fraction form
    8,521.94/12,785.99 = 2,976.10/x
  3. Step 3: Cross multiply
    8,521.94x = 12,785.99 × 2,976.10
  4. Step 4: Simplify right side
    8,521.94x = 38,052,384.84
  5. Step 5: Solve for x
    x = 38,052,384.84/8,521.94
  6. Step 6: Final answer
    x = 4,465.23

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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.