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Finding the Fourth Proportional to 3,575.17, 5,362.76 and 978.13

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Solution

The fourth proportional to 3,575.17, 5,362.76 and 978.13 is: 1,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.17 : 5,362.76 = 978.13 : x
  2. Step 2: Convert to fraction form
    3,575.17/5,362.76 = 978.13/x
  3. Step 3: Cross multiply
    3,575.17x = 5,362.76 × 978.13
  4. Step 4: Simplify right side
    3,575.17x = 5,245,476.44
  5. Step 5: Solve for x
    x = 5,245,476.44/3,575.17
  6. Step 6: Final answer
    x = 1,467.20

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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.