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Finding the Fourth Proportional to 7,912.81, 10,918.96 and 4,375.81

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Solution

The fourth proportional to 7,912.81, 10,918.96 and 4,375.81 is: 6,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.81 : 10,918.96 = 4,375.81 : x
  2. Step 2: Convert to fraction form
    7,912.81/10,918.96 = 4,375.81/x
  3. Step 3: Cross multiply
    7,912.81x = 10,918.96 × 4,375.81
  4. Step 4: Simplify right side
    7,912.81x = 47,779,294.36
  5. Step 5: Solve for x
    x = 47,779,294.36/7,912.81
  6. Step 6: Final answer
    x = 6,038.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.