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Finding the Fourth Proportional to 3,575.07, 5,362.73 and 978.07

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Solution

The fourth proportional to 3,575.07, 5,362.73 and 978.07 is: 1,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.07 : 5,362.73 = 978.07 : x
  2. Step 2: Convert to fraction form
    3,575.07/5,362.73 = 978.07/x
  3. Step 3: Cross multiply
    3,575.07x = 5,362.73 × 978.07
  4. Step 4: Simplify right side
    3,575.07x = 5,245,125.33
  5. Step 5: Solve for x
    x = 5,245,125.33/3,575.07
  6. Step 6: Final answer
    x = 1,467.14

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1.5x scale

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.