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Finding the Fourth Proportional to 8,946.71, 13,411.73 and 8,208.59

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Solution

The fourth proportional to 8,946.71, 13,411.73 and 8,208.59 is: 12,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.71 : 13,411.73 = 8,208.59 : x
  2. Step 2: Convert to fraction form
    8,946.71/13,411.73 = 8,208.59/x
  3. Step 3: Cross multiply
    8,946.71x = 13,411.73 × 8,208.59
  4. Step 4: Simplify right side
    8,946.71x = 110,091,351.72
  5. Step 5: Solve for x
    x = 110,091,351.72/8,946.71
  6. Step 6: Final answer
    x = 12,305.23

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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.