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Finding the Fourth Proportional to 13,689.64, 18,891.69 and 7,402

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Solution

The fourth proportional to 13,689.64, 18,891.69 and 7,402 is: 10,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.64 : 18,891.69 = 7,402 : x
  2. Step 2: Convert to fraction form
    13,689.64/18,891.69 = 7,402/x
  3. Step 3: Cross multiply
    13,689.64x = 18,891.69 × 7,402
  4. Step 4: Simplify right side
    13,689.64x = 139,836,289.38
  5. Step 5: Solve for x
    x = 139,836,289.38/13,689.64
  6. Step 6: Final answer
    x = 10,214.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.