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Finding the Fourth Proportional to 8,634.31, 12,881.26 and 7,828.60

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Solution

The fourth proportional to 8,634.31, 12,881.26 and 7,828.60 is: 11,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.31 : 12,881.26 = 7,828.60 : x
  2. Step 2: Convert to fraction form
    8,634.31/12,881.26 = 7,828.60/x
  3. Step 3: Cross multiply
    8,634.31x = 12,881.26 × 7,828.60
  4. Step 4: Simplify right side
    8,634.31x = 100,842,233.77
  5. Step 5: Solve for x
    x = 100,842,233.77/8,634.31
  6. Step 6: Final answer
    x = 11,679.24

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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.