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Finding the Fourth Proportional to 17,678.01, 24,395.75 and 9,720.75

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Solution

The fourth proportional to 17,678.01, 24,395.75 and 9,720.75 is: 13,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.01 : 24,395.75 = 9,720.75 : x
  2. Step 2: Convert to fraction form
    17,678.01/24,395.75 = 9,720.75/x
  3. Step 3: Cross multiply
    17,678.01x = 24,395.75 × 9,720.75
  4. Step 4: Simplify right side
    17,678.01x = 237,144,986.81
  5. Step 5: Solve for x
    x = 237,144,986.81/17,678.01
  6. Step 6: Final answer
    x = 13,414.69

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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.