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Finding the Fourth Proportional to 9,666.25, 13,345.86 and 7,424.12

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Solution

The fourth proportional to 9,666.25, 13,345.86 and 7,424.12 is: 10,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.25 : 13,345.86 = 7,424.12 : x
  2. Step 2: Convert to fraction form
    9,666.25/13,345.86 = 7,424.12/x
  3. Step 3: Cross multiply
    9,666.25x = 13,345.86 × 7,424.12
  4. Step 4: Simplify right side
    9,666.25x = 99,081,266.14
  5. Step 5: Solve for x
    x = 99,081,266.14/9,666.25
  6. Step 6: Final answer
    x = 10,250.23

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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.