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Finding the Fourth Proportional to 9,815.88, 14,696.84 and 6,857.28

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Solution

The fourth proportional to 9,815.88, 14,696.84 and 6,857.28 is: 10,267.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.88 : 14,696.84 = 6,857.28 : x
  2. Step 2: Convert to fraction form
    9,815.88/14,696.84 = 6,857.28/x
  3. Step 3: Cross multiply
    9,815.88x = 14,696.84 × 6,857.28
  4. Step 4: Simplify right side
    9,815.88x = 100,780,312.71
  5. Step 5: Solve for x
    x = 100,780,312.71/9,815.88
  6. Step 6: Final answer
    x = 10,267.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.