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Finding the Fourth Proportional to 9,522.78, 13,140.80 and 5,543.26

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Solution

The fourth proportional to 9,522.78, 13,140.80 and 5,543.26 is: 7,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.78 : 13,140.80 = 5,543.26 : x
  2. Step 2: Convert to fraction form
    9,522.78/13,140.80 = 5,543.26/x
  3. Step 3: Cross multiply
    9,522.78x = 13,140.80 × 5,543.26
  4. Step 4: Simplify right side
    9,522.78x = 72,842,871.01
  5. Step 5: Solve for x
    x = 72,842,871.01/9,522.78
  6. Step 6: Final answer
    x = 7,649.33

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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.