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Finding the Fourth Proportional to 4,971.65, 7,455.02 and 2,779.79

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Solution

The fourth proportional to 4,971.65, 7,455.02 and 2,779.79 is: 4,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.65 : 7,455.02 = 2,779.79 : x
  2. Step 2: Convert to fraction form
    4,971.65/7,455.02 = 2,779.79/x
  3. Step 3: Cross multiply
    4,971.65x = 7,455.02 × 2,779.79
  4. Step 4: Simplify right side
    4,971.65x = 20,723,338.87
  5. Step 5: Solve for x
    x = 20,723,338.87/4,971.65
  6. Step 6: Final answer
    x = 4,168.31

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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.