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Finding the Fourth Proportional to 8,312.87, 11,470.19 and 4,956

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Solution

The fourth proportional to 8,312.87, 11,470.19 and 4,956 is: 6,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.87 : 11,470.19 = 4,956 : x
  2. Step 2: Convert to fraction form
    8,312.87/11,470.19 = 4,956/x
  3. Step 3: Cross multiply
    8,312.87x = 11,470.19 × 4,956
  4. Step 4: Simplify right side
    8,312.87x = 56,846,261.64
  5. Step 5: Solve for x
    x = 56,846,261.64/8,312.87
  6. Step 6: Final answer
    x = 6,838.34

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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.