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Finding the Fourth Proportional to 11,478.13, 17,228 and 5,638.93

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Solution

The fourth proportional to 11,478.13, 17,228 and 5,638.93 is: 8,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.13 : 17,228 = 5,638.93 : x
  2. Step 2: Convert to fraction form
    11,478.13/17,228 = 5,638.93/x
  3. Step 3: Cross multiply
    11,478.13x = 17,228 × 5,638.93
  4. Step 4: Simplify right side
    11,478.13x = 97,147,486.04
  5. Step 5: Solve for x
    x = 97,147,486.04/11,478.13
  6. Step 6: Final answer
    x = 8,463.70

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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.