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Finding the Fourth Proportional to 7,862.84, 11,798.86 and 2,935.88

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Solution

The fourth proportional to 7,862.84, 11,798.86 and 2,935.88 is: 4,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.84 : 11,798.86 = 2,935.88 : x
  2. Step 2: Convert to fraction form
    7,862.84/11,798.86 = 2,935.88/x
  3. Step 3: Cross multiply
    7,862.84x = 11,798.86 × 2,935.88
  4. Step 4: Simplify right side
    7,862.84x = 34,640,037.10
  5. Step 5: Solve for x
    x = 34,640,037.10/7,862.84
  6. Step 6: Final answer
    x = 4,405.54

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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.