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Finding the Fourth Proportional to 11,870.70, 16,364.07 and 8,721.42

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Solution

The fourth proportional to 11,870.70, 16,364.07 and 8,721.42 is: 12,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.70 : 16,364.07 = 8,721.42 : x
  2. Step 2: Convert to fraction form
    11,870.70/16,364.07 = 8,721.42/x
  3. Step 3: Cross multiply
    11,870.70x = 16,364.07 × 8,721.42
  4. Step 4: Simplify right side
    11,870.70x = 142,717,927.38
  5. Step 5: Solve for x
    x = 142,717,927.38/11,870.70
  6. Step 6: Final answer
    x = 12,022.71

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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.