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Finding the Fourth Proportional to 8,971.84, 12,380.97 and 4,992.94

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Solution

The fourth proportional to 8,971.84, 12,380.97 and 4,992.94 is: 6,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.84 : 12,380.97 = 4,992.94 : x
  2. Step 2: Convert to fraction form
    8,971.84/12,380.97 = 4,992.94/x
  3. Step 3: Cross multiply
    8,971.84x = 12,380.97 × 4,992.94
  4. Step 4: Simplify right side
    8,971.84x = 61,817,440.35
  5. Step 5: Solve for x
    x = 61,817,440.35/8,971.84
  6. Step 6: Final answer
    x = 6,890.16

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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.