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Finding the Fourth Proportional to 13,187.75, 18,199.29 and 7,219.98

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Solution

The fourth proportional to 13,187.75, 18,199.29 and 7,219.98 is: 9,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.75 : 18,199.29 = 7,219.98 : x
  2. Step 2: Convert to fraction form
    13,187.75/18,199.29 = 7,219.98/x
  3. Step 3: Cross multiply
    13,187.75x = 18,199.29 × 7,219.98
  4. Step 4: Simplify right side
    13,187.75x = 131,398,509.81
  5. Step 5: Solve for x
    x = 131,398,509.81/13,187.75
  6. Step 6: Final answer
    x = 9,963.68

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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.