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Finding the Fourth Proportional to 13,415.16, 18,512.00 and 7,446.36

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Solution

The fourth proportional to 13,415.16, 18,512.00 and 7,446.36 is: 10,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.16 : 18,512.00 = 7,446.36 : x
  2. Step 2: Convert to fraction form
    13,415.16/18,512.00 = 7,446.36/x
  3. Step 3: Cross multiply
    13,415.16x = 18,512.00 × 7,446.36
  4. Step 4: Simplify right side
    13,415.16x = 137,847,030.15
  5. Step 5: Solve for x
    x = 137,847,030.15/13,415.16
  6. Step 6: Final answer
    x = 10,275.46

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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.