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Finding the Fourth Proportional to 8,955.36, 12,355.20 and 6,156

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Solution

The fourth proportional to 8,955.36, 12,355.20 and 6,156 is: 8,493.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,955.36 : 12,355.20 = 6,156 : x
  2. Step 2: Convert to fraction form
    8,955.36/12,355.20 = 6,156/x
  3. Step 3: Cross multiply
    8,955.36x = 12,355.20 × 6,156
  4. Step 4: Simplify right side
    8,955.36x = 76,058,611.20
  5. Step 5: Solve for x
    x = 76,058,611.20/8,955.36
  6. Step 6: Final answer
    x = 8,493.08

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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.