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Finding the Fourth Proportional to 9,153.60, 12,633.12 and 5,427.84

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Solution

The fourth proportional to 9,153.60, 12,633.12 and 5,427.84 is: 7,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.60 : 12,633.12 = 5,427.84 : x
  2. Step 2: Convert to fraction form
    9,153.60/12,633.12 = 5,427.84/x
  3. Step 3: Cross multiply
    9,153.60x = 12,633.12 × 5,427.84
  4. Step 4: Simplify right side
    9,153.60x = 68,570,554.06
  5. Step 5: Solve for x
    x = 68,570,554.06/9,153.60
  6. Step 6: Final answer
    x = 7,491.10

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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.