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Finding the Fourth Proportional to 8,256.84, 11,383.20 and 5,894.88

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Solution

The fourth proportional to 8,256.84, 11,383.20 and 5,894.88 is: 8,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.84 : 11,383.20 = 5,894.88 : x
  2. Step 2: Convert to fraction form
    8,256.84/11,383.20 = 5,894.88/x
  3. Step 3: Cross multiply
    8,256.84x = 11,383.20 × 5,894.88
  4. Step 4: Simplify right side
    8,256.84x = 67,102,598.02
  5. Step 5: Solve for x
    x = 67,102,598.02/8,256.84
  6. Step 6: Final answer
    x = 8,126.91

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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.