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Finding the Fourth Proportional to 13,808.64, 19,056.24 and 7,521.12

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Solution

The fourth proportional to 13,808.64, 19,056.24 and 7,521.12 is: 10,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.64 : 19,056.24 = 7,521.12 : x
  2. Step 2: Convert to fraction form
    13,808.64/19,056.24 = 7,521.12/x
  3. Step 3: Cross multiply
    13,808.64x = 19,056.24 × 7,521.12
  4. Step 4: Simplify right side
    13,808.64x = 143,324,267.79
  5. Step 5: Solve for x
    x = 143,324,267.79/13,808.64
  6. Step 6: Final answer
    x = 10,379.32

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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.