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Finding the Fourth Proportional to 9,887.74, 13,634.84 and 8,476.34

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Solution

The fourth proportional to 9,887.74, 13,634.84 and 8,476.34 is: 11,688.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.74 : 13,634.84 = 8,476.34 : x
  2. Step 2: Convert to fraction form
    9,887.74/13,634.84 = 8,476.34/x
  3. Step 3: Cross multiply
    9,887.74x = 13,634.84 × 8,476.34
  4. Step 4: Simplify right side
    9,887.74x = 115,573,539.69
  5. Step 5: Solve for x
    x = 115,573,539.69/9,887.74
  6. Step 6: Final answer
    x = 11,688.57

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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.