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Finding the Fourth Proportional to 21,570.25, 32,355.38 and 6,978.25

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Solution

The fourth proportional to 21,570.25, 32,355.38 and 6,978.25 is: 10,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.25 : 32,355.38 = 6,978.25 : x
  2. Step 2: Convert to fraction form
    21,570.25/32,355.38 = 6,978.25/x
  3. Step 3: Cross multiply
    21,570.25x = 32,355.38 × 6,978.25
  4. Step 4: Simplify right side
    21,570.25x = 225,783,930.49
  5. Step 5: Solve for x
    x = 225,783,930.49/21,570.25
  6. Step 6: Final answer
    x = 10,467.38

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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.