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Finding the Fourth Proportional to 7,853.61, 11,779.19 and 5,099.81

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Solution

The fourth proportional to 7,853.61, 11,779.19 and 5,099.81 is: 7,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.61 : 11,779.19 = 5,099.81 : x
  2. Step 2: Convert to fraction form
    7,853.61/11,779.19 = 5,099.81/x
  3. Step 3: Cross multiply
    7,853.61x = 11,779.19 × 5,099.81
  4. Step 4: Simplify right side
    7,853.61x = 60,071,614.26
  5. Step 5: Solve for x
    x = 60,071,614.26/7,853.61
  6. Step 6: Final answer
    x = 7,648.92

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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.