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Finding the Fourth Proportional to 17,628, 26,442.16 and 5,781.60

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Solution

The fourth proportional to 17,628, 26,442.16 and 5,781.60 is: 8,672.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,628 : 26,442.16 = 5,781.60 : x
  2. Step 2: Convert to fraction form
    17,628/26,442.16 = 5,781.60/x
  3. Step 3: Cross multiply
    17,628x = 26,442.16 × 5,781.60
  4. Step 4: Simplify right side
    17,628x = 152,877,992.26
  5. Step 5: Solve for x
    x = 152,877,992.26/17,628
  6. Step 6: Final answer
    x = 8,672.45

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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.