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Finding the Fourth Proportional to 34,425.36, 51,638.04 and 13,644

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Solution

The fourth proportional to 34,425.36, 51,638.04 and 13,644 is: 20,466

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,425.36 : 51,638.04 = 13,644 : x
  2. Step 2: Convert to fraction form
    34,425.36/51,638.04 = 13,644/x
  3. Step 3: Cross multiply
    34,425.36x = 51,638.04 × 13,644
  4. Step 4: Simplify right side
    34,425.36x = 704,549,417.76
  5. Step 5: Solve for x
    x = 704,549,417.76/34,425.36
  6. Step 6: Final answer
    x = 20,466

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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.