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Finding the Fourth Proportional to 21,808.72, 32,703.36 and 7,948

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Solution

The fourth proportional to 21,808.72, 32,703.36 and 7,948 is: 11,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,808.72 : 32,703.36 = 7,948 : x
  2. Step 2: Convert to fraction form
    21,808.72/32,703.36 = 7,948/x
  3. Step 3: Cross multiply
    21,808.72x = 32,703.36 × 7,948
  4. Step 4: Simplify right side
    21,808.72x = 259,926,305.28
  5. Step 5: Solve for x
    x = 259,926,305.28/21,808.72
  6. Step 6: Final answer
    x = 11,918.46

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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.