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Finding the Fourth Proportional to 13,477.68, 18,594.81 and 7,508.21

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Solution

The fourth proportional to 13,477.68, 18,594.81 and 7,508.21 is: 10,358.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.68 : 18,594.81 = 7,508.21 : x
  2. Step 2: Convert to fraction form
    13,477.68/18,594.81 = 7,508.21/x
  3. Step 3: Cross multiply
    13,477.68x = 18,594.81 × 7,508.21
  4. Step 4: Simplify right side
    13,477.68x = 139,613,645.42
  5. Step 5: Solve for x
    x = 139,613,645.42/13,477.68
  6. Step 6: Final answer
    x = 10,358.88

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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.