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Finding the Fourth Proportional to 10,133.37, 15,199.90 and 5,200.16

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Solution

The fourth proportional to 10,133.37, 15,199.90 and 5,200.16 is: 7,800.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.37 : 15,199.90 = 5,200.16 : x
  2. Step 2: Convert to fraction form
    10,133.37/15,199.90 = 5,200.16/x
  3. Step 3: Cross multiply
    10,133.37x = 15,199.90 × 5,200.16
  4. Step 4: Simplify right side
    10,133.37x = 79,041,911.98
  5. Step 5: Solve for x
    x = 79,041,911.98/10,133.37
  6. Step 6: Final answer
    x = 7,800.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.