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Finding the Fourth Proportional to 13,574.13, 20,354.76 and 5,258.04

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Solution

The fourth proportional to 13,574.13, 20,354.76 and 5,258.04 is: 7,884.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.13 : 20,354.76 = 5,258.04 : x
  2. Step 2: Convert to fraction form
    13,574.13/20,354.76 = 5,258.04/x
  3. Step 3: Cross multiply
    13,574.13x = 20,354.76 × 5,258.04
  4. Step 4: Simplify right side
    13,574.13x = 107,026,142.27
  5. Step 5: Solve for x
    x = 107,026,142.27/13,574.13
  6. Step 6: Final answer
    x = 7,884.57

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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.