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Finding the Fourth Proportional to 14,394, 19,872.36 and 9,434.64

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Solution

The fourth proportional to 14,394, 19,872.36 and 9,434.64 is: 13,025.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394 : 19,872.36 = 9,434.64 : x
  2. Step 2: Convert to fraction form
    14,394/19,872.36 = 9,434.64/x
  3. Step 3: Cross multiply
    14,394x = 19,872.36 × 9,434.64
  4. Step 4: Simplify right side
    14,394x = 187,488,562.55
  5. Step 5: Solve for x
    x = 187,488,562.55/14,394
  6. Step 6: Final answer
    x = 13,025.47

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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.