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Finding the Fourth Proportional to 9,681.23, 13,364.53 and 7,442.33

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Solution

The fourth proportional to 9,681.23, 13,364.53 and 7,442.33 is: 10,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.23 : 13,364.53 = 7,442.33 : x
  2. Step 2: Convert to fraction form
    9,681.23/13,364.53 = 7,442.33/x
  3. Step 3: Cross multiply
    9,681.23x = 13,364.53 × 7,442.33
  4. Step 4: Simplify right side
    9,681.23x = 99,463,157.13
  5. Step 5: Solve for x
    x = 99,463,157.13/9,681.23
  6. Step 6: Final answer
    x = 10,273.81

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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.