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Finding the Fourth Proportional to 7,886.98, 11,827.00 and 2,953.15

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Solution

The fourth proportional to 7,886.98, 11,827.00 and 2,953.15 is: 4,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.98 : 11,827.00 = 2,953.15 : x
  2. Step 2: Convert to fraction form
    7,886.98/11,827.00 = 2,953.15/x
  3. Step 3: Cross multiply
    7,886.98x = 11,827.00 × 2,953.15
  4. Step 4: Simplify right side
    7,886.98x = 34,926,961.30
  5. Step 5: Solve for x
    x = 34,926,961.30/7,886.98
  6. Step 6: Final answer
    x = 4,428.44

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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.