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Finding the Fourth Proportional to 13,173.80, 19,767.51 and 5,783.45

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Solution

The fourth proportional to 13,173.80, 19,767.51 and 5,783.45 is: 8,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.80 : 19,767.51 = 5,783.45 : x
  2. Step 2: Convert to fraction form
    13,173.80/19,767.51 = 5,783.45/x
  3. Step 3: Cross multiply
    13,173.80x = 19,767.51 × 5,783.45
  4. Step 4: Simplify right side
    13,173.80x = 114,324,306.87
  5. Step 5: Solve for x
    x = 114,324,306.87/13,173.80
  6. Step 6: Final answer
    x = 8,678.16

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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.