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Finding the Fourth Proportional to 7,866.03, 11,799.10 and 2,871.98

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Solution

The fourth proportional to 7,866.03, 11,799.10 and 2,871.98 is: 4,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.03 : 11,799.10 = 2,871.98 : x
  2. Step 2: Convert to fraction form
    7,866.03/11,799.10 = 2,871.98/x
  3. Step 3: Cross multiply
    7,866.03x = 11,799.10 × 2,871.98
  4. Step 4: Simplify right side
    7,866.03x = 33,886,779.22
  5. Step 5: Solve for x
    x = 33,886,779.22/7,866.03
  6. Step 6: Final answer
    x = 4,307.99

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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.