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Finding the Fourth Proportional to 13,513.23, 20,276.81 and 10,225.23

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Solution

The fourth proportional to 13,513.23, 20,276.81 and 10,225.23 is: 15,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.23 : 20,276.81 = 10,225.23 : x
  2. Step 2: Convert to fraction form
    13,513.23/20,276.81 = 10,225.23/x
  3. Step 3: Cross multiply
    13,513.23x = 20,276.81 × 10,225.23
  4. Step 4: Simplify right side
    13,513.23x = 207,334,994.79
  5. Step 5: Solve for x
    x = 207,334,994.79/13,513.23
  6. Step 6: Final answer
    x = 15,343.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.