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Finding the Fourth Proportional to 17,120, 25,681.04 and 4,808.96

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Solution

The fourth proportional to 17,120, 25,681.04 and 4,808.96 is: 7,213.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,120 : 25,681.04 = 4,808.96 : x
  2. Step 2: Convert to fraction form
    17,120/25,681.04 = 4,808.96/x
  3. Step 3: Cross multiply
    17,120x = 25,681.04 × 4,808.96
  4. Step 4: Simplify right side
    17,120x = 123,499,094.12
  5. Step 5: Solve for x
    x = 123,499,094.12/17,120
  6. Step 6: Final answer
    x = 7,213.73

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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.