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Finding the Fourth Proportional to 21,570, 32,355 and 5,987.63

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Solution

The fourth proportional to 21,570, 32,355 and 5,987.63 is: 8,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570 : 32,355 = 5,987.63 : x
  2. Step 2: Convert to fraction form
    21,570/32,355 = 5,987.63/x
  3. Step 3: Cross multiply
    21,570x = 32,355 × 5,987.63
  4. Step 4: Simplify right side
    21,570x = 193,729,606.88
  5. Step 5: Solve for x
    x = 193,729,606.88/21,570
  6. Step 6: Final answer
    x = 8,981.44

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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.