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Finding the Fourth Proportional to 28,178.64, 42,268.32 and 13,389

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Solution

The fourth proportional to 28,178.64, 42,268.32 and 13,389 is: 20,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,178.64 : 42,268.32 = 13,389 : x
  2. Step 2: Convert to fraction form
    28,178.64/42,268.32 = 13,389/x
  3. Step 3: Cross multiply
    28,178.64x = 42,268.32 × 13,389
  4. Step 4: Simplify right side
    28,178.64x = 565,930,536.48
  5. Step 5: Solve for x
    x = 565,930,536.48/28,178.64
  6. Step 6: Final answer
    x = 20,083.67

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Why These Related Problems?

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