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Finding the Fourth Proportional to 10,137.56, 13,990.86 and 6,158.97

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Solution

The fourth proportional to 10,137.56, 13,990.86 and 6,158.97 is: 8,500.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.56 : 13,990.86 = 6,158.97 : x
  2. Step 2: Convert to fraction form
    10,137.56/13,990.86 = 6,158.97/x
  3. Step 3: Cross multiply
    10,137.56x = 13,990.86 × 6,158.97
  4. Step 4: Simplify right side
    10,137.56x = 86,169,287.01
  5. Step 5: Solve for x
    x = 86,169,287.01/10,137.56
  6. Step 6: Final answer
    x = 8,500.01

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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.