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Finding the Fourth Proportional to 20,249, 30,389.16 and 14,052.50

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Solution

The fourth proportional to 20,249, 30,389.16 and 14,052.50 is: 21,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,249 : 30,389.16 = 14,052.50 : x
  2. Step 2: Convert to fraction form
    20,249/30,389.16 = 14,052.50/x
  3. Step 3: Cross multiply
    20,249x = 30,389.16 × 14,052.50
  4. Step 4: Simplify right side
    20,249x = 427,043,670.90
  5. Step 5: Solve for x
    x = 427,043,670.90/20,249
  6. Step 6: Final answer
    x = 21,089.62

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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.