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Finding the Fourth Proportional to 8,643, 11,927.88 and 4,917

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Solution

The fourth proportional to 8,643, 11,927.88 and 4,917 is: 6,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643 : 11,927.88 = 4,917 : x
  2. Step 2: Convert to fraction form
    8,643/11,927.88 = 4,917/x
  3. Step 3: Cross multiply
    8,643x = 11,927.88 × 4,917
  4. Step 4: Simplify right side
    8,643x = 58,649,385.96
  5. Step 5: Solve for x
    x = 58,649,385.96/8,643
  6. Step 6: Final answer
    x = 6,785.77

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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.