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Finding the Fourth Proportional to 7,866.09, 11,779.70 and 4,569.21

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Solution

The fourth proportional to 7,866.09, 11,779.70 and 4,569.21 is: 6,842.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.09 : 11,779.70 = 4,569.21 : x
  2. Step 2: Convert to fraction form
    7,866.09/11,779.70 = 4,569.21/x
  3. Step 3: Cross multiply
    7,866.09x = 11,779.70 × 4,569.21
  4. Step 4: Simplify right side
    7,866.09x = 53,823,900.19
  5. Step 5: Solve for x
    x = 53,823,900.19/7,866.09
  6. Step 6: Final answer
    x = 6,842.52

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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.