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Finding the Fourth Proportional to 17,678.16, 24,395.23 and 9,720.32

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Solution

The fourth proportional to 17,678.16, 24,395.23 and 9,720.32 is: 13,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.16 : 24,395.23 = 9,720.32 : x
  2. Step 2: Convert to fraction form
    17,678.16/24,395.23 = 9,720.32/x
  3. Step 3: Cross multiply
    17,678.16x = 24,395.23 × 9,720.32
  4. Step 4: Simplify right side
    17,678.16x = 237,129,405.39
  5. Step 5: Solve for x
    x = 237,129,405.39/17,678.16
  6. Step 6: Final answer
    x = 13,413.69

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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.