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Finding the Fourth Proportional to 20,526.89, 28,325.16 and 11,574.16

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Solution

The fourth proportional to 20,526.89, 28,325.16 and 11,574.16 is: 15,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,526.89 : 28,325.16 = 11,574.16 : x
  2. Step 2: Convert to fraction form
    20,526.89/28,325.16 = 11,574.16/x
  3. Step 3: Cross multiply
    20,526.89x = 28,325.16 × 11,574.16
  4. Step 4: Simplify right side
    20,526.89x = 327,839,863.05
  5. Step 5: Solve for x
    x = 327,839,863.05/20,526.89
  6. Step 6: Final answer
    x = 15,971.24

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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.