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Finding the Fourth Proportional to 16,991, 25,478.26 and 7,127.64

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Solution

The fourth proportional to 16,991, 25,478.26 and 7,127.64 is: 10,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,991 : 25,478.26 = 7,127.64 : x
  2. Step 2: Convert to fraction form
    16,991/25,478.26 = 7,127.64/x
  3. Step 3: Cross multiply
    16,991x = 25,478.26 × 7,127.64
  4. Step 4: Simplify right side
    16,991x = 181,599,865.11
  5. Step 5: Solve for x
    x = 181,599,865.11/16,991
  6. Step 6: Final answer
    x = 10,688.00

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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.