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Finding the Fourth Proportional to 13,302.02, 18,356 and 7,635.87

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Solution

The fourth proportional to 13,302.02, 18,356 and 7,635.87 is: 10,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.02 : 18,356 = 7,635.87 : x
  2. Step 2: Convert to fraction form
    13,302.02/18,356 = 7,635.87/x
  3. Step 3: Cross multiply
    13,302.02x = 18,356 × 7,635.87
  4. Step 4: Simplify right side
    13,302.02x = 140,163,937.94
  5. Step 5: Solve for x
    x = 140,163,937.94/13,302.02
  6. Step 6: Final answer
    x = 10,537.05

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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.