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Finding the Fourth Proportional to 10,137, 13,990.68 and 5,945.28

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Solution

The fourth proportional to 10,137, 13,990.68 and 5,945.28 is: 8,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137 : 13,990.68 = 5,945.28 : x
  2. Step 2: Convert to fraction form
    10,137/13,990.68 = 5,945.28/x
  3. Step 3: Cross multiply
    10,137x = 13,990.68 × 5,945.28
  4. Step 4: Simplify right side
    10,137x = 83,178,509.99
  5. Step 5: Solve for x
    x = 83,178,509.99/10,137
  6. Step 6: Final answer
    x = 8,205.44

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1.5x scale

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.