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Finding the Fourth Proportional to 15,672, 21,627 and 8,598.24

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Solution

The fourth proportional to 15,672, 21,627 and 8,598.24 is: 11,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,672 : 21,627 = 8,598.24 : x
  2. Step 2: Convert to fraction form
    15,672/21,627 = 8,598.24/x
  3. Step 3: Cross multiply
    15,672x = 21,627 × 8,598.24
  4. Step 4: Simplify right side
    15,672x = 185,954,136.48
  5. Step 5: Solve for x
    x = 185,954,136.48/15,672
  6. Step 6: Final answer
    x = 11,865.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.