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Finding the Fourth Proportional to 11,953.81, 16,503.63 and 7,706.38

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Solution

The fourth proportional to 11,953.81, 16,503.63 and 7,706.38 is: 10,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.81 : 16,503.63 = 7,706.38 : x
  2. Step 2: Convert to fraction form
    11,953.81/16,503.63 = 7,706.38/x
  3. Step 3: Cross multiply
    11,953.81x = 16,503.63 × 7,706.38
  4. Step 4: Simplify right side
    11,953.81x = 127,183,244.16
  5. Step 5: Solve for x
    x = 127,183,244.16/11,953.81
  6. Step 6: Final answer
    x = 10,639.56

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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.