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Finding the Fourth Proportional to 8,102.88, 12,154.32 and 1,946.88

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Solution

The fourth proportional to 8,102.88, 12,154.32 and 1,946.88 is: 2,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.88 : 12,154.32 = 1,946.88 : x
  2. Step 2: Convert to fraction form
    8,102.88/12,154.32 = 1,946.88/x
  3. Step 3: Cross multiply
    8,102.88x = 12,154.32 × 1,946.88
  4. Step 4: Simplify right side
    8,102.88x = 23,663,002.52
  5. Step 5: Solve for x
    x = 23,663,002.52/8,102.88
  6. Step 6: Final answer
    x = 2,920.32

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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.