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Finding the Fourth Proportional to 9,582.08, 13,223.13 and 5,390.33

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Solution

The fourth proportional to 9,582.08, 13,223.13 and 5,390.33 is: 7,438.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.08 : 13,223.13 = 5,390.33 : x
  2. Step 2: Convert to fraction form
    9,582.08/13,223.13 = 5,390.33/x
  3. Step 3: Cross multiply
    9,582.08x = 13,223.13 × 5,390.33
  4. Step 4: Simplify right side
    9,582.08x = 71,276,968.22
  5. Step 5: Solve for x
    x = 71,276,968.22/9,582.08
  6. Step 6: Final answer
    x = 7,438.57

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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.