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Finding the Fourth Proportional to 8,703.84, 12,972.80 and 8,211.84

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Solution

The fourth proportional to 8,703.84, 12,972.80 and 8,211.84 is: 12,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,703.84 : 12,972.80 = 8,211.84 : x
  2. Step 2: Convert to fraction form
    8,703.84/12,972.80 = 8,211.84/x
  3. Step 3: Cross multiply
    8,703.84x = 12,972.80 × 8,211.84
  4. Step 4: Simplify right side
    8,703.84x = 106,530,557.95
  5. Step 5: Solve for x
    x = 106,530,557.95/8,703.84
  6. Step 6: Final answer
    x = 12,239.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.