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Finding the Fourth Proportional to 11,446.62, 15,780.63 and 7,903.74

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Solution

The fourth proportional to 11,446.62, 15,780.63 and 7,903.74 is: 10,896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.62 : 15,780.63 = 7,903.74 : x
  2. Step 2: Convert to fraction form
    11,446.62/15,780.63 = 7,903.74/x
  3. Step 3: Cross multiply
    11,446.62x = 15,780.63 × 7,903.74
  4. Step 4: Simplify right side
    11,446.62x = 124,725,996.56
  5. Step 5: Solve for x
    x = 124,725,996.56/11,446.62
  6. Step 6: Final answer
    x = 10,896.32

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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.