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Finding the Fourth Proportional to 9,720.16, 14,577.17 and 3,144.81

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Solution

The fourth proportional to 9,720.16, 14,577.17 and 3,144.81 is: 4,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.16 : 14,577.17 = 3,144.81 : x
  2. Step 2: Convert to fraction form
    9,720.16/14,577.17 = 3,144.81/x
  3. Step 3: Cross multiply
    9,720.16x = 14,577.17 × 3,144.81
  4. Step 4: Simplify right side
    9,720.16x = 45,842,429.99
  5. Step 5: Solve for x
    x = 45,842,429.99/9,720.16
  6. Step 6: Final answer
    x = 4,716.22

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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.