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Finding the Fourth Proportional to 14,592, 20,145.25 and 9,638.40

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Solution

The fourth proportional to 14,592, 20,145.25 and 9,638.40 is: 13,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,592 : 20,145.25 = 9,638.40 : x
  2. Step 2: Convert to fraction form
    14,592/20,145.25 = 9,638.40/x
  3. Step 3: Cross multiply
    14,592x = 20,145.25 × 9,638.40
  4. Step 4: Simplify right side
    14,592x = 194,167,977.60
  5. Step 5: Solve for x
    x = 194,167,977.60/14,592
  6. Step 6: Final answer
    x = 13,306.47

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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.