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Finding the Fourth Proportional to 8,186.84, 11,302.10 and 6,390.46

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Solution

The fourth proportional to 8,186.84, 11,302.10 and 6,390.46 is: 8,822.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.84 : 11,302.10 = 6,390.46 : x
  2. Step 2: Convert to fraction form
    8,186.84/11,302.10 = 6,390.46/x
  3. Step 3: Cross multiply
    8,186.84x = 11,302.10 × 6,390.46
  4. Step 4: Simplify right side
    8,186.84x = 72,225,617.97
  5. Step 5: Solve for x
    x = 72,225,617.97/8,186.84
  6. Step 6: Final answer
    x = 8,822.16

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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.