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Finding the Fourth Proportional to 7,779.84, 11,666.90 and 2,848.02

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Solution

The fourth proportional to 7,779.84, 11,666.90 and 2,848.02 is: 4,270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.84 : 11,666.90 = 2,848.02 : x
  2. Step 2: Convert to fraction form
    7,779.84/11,666.90 = 2,848.02/x
  3. Step 3: Cross multiply
    7,779.84x = 11,666.90 × 2,848.02
  4. Step 4: Simplify right side
    7,779.84x = 33,227,564.54
  5. Step 5: Solve for x
    x = 33,227,564.54/7,779.84
  6. Step 6: Final answer
    x = 4,270.98

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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.