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Finding the Fourth Proportional to 10,197.57, 14,069.36 and 5,720.49

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Solution

The fourth proportional to 10,197.57, 14,069.36 and 5,720.49 is: 7,892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.57 : 14,069.36 = 5,720.49 : x
  2. Step 2: Convert to fraction form
    10,197.57/14,069.36 = 5,720.49/x
  3. Step 3: Cross multiply
    10,197.57x = 14,069.36 × 5,720.49
  4. Step 4: Simplify right side
    10,197.57x = 80,483,564.00
  5. Step 5: Solve for x
    x = 80,483,564.00/10,197.57
  6. Step 6: Final answer
    x = 7,892.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.